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Finding the Third Proportional to 390,663,583,582 and 813,431,743,856

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Solution

The third proportional to 390,663,583,582 and 813,431,743,856 is: 1,693,710,982,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,663,583,582 : 813,431,743,856 = 813,431,743,856 : x
  2. Step 2: Convert to fraction form
    390,663,583,582/813,431,743,856 = 813,431,743,856/x
  3. Step 3: Cross multiply
    390,663,583,582x = 813,431,743,856 × 813,431,743,856
  4. Step 4: Simplify right side
    390,663,583,582x = 661,671,201,912,613,138,071,552
  5. Step 5: Solve for x
    x = 661,671,201,912,613,138,071,552/390,663,583,582
  6. Step 6: Final answer
    x = 1,693,710,982,338.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.