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Finding the Third Proportional to 385,428 and 847,743

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Solution

The third proportional to 385,428 and 847,743 is: 1,864,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,428 : 847,743 = 847,743 : x
  2. Step 2: Convert to fraction form
    385,428/847,743 = 847,743/x
  3. Step 3: Cross multiply
    385,428x = 847,743 × 847,743
  4. Step 4: Simplify right side
    385,428x = 718,668,194,049
  5. Step 5: Solve for x
    x = 718,668,194,049/385,428
  6. Step 6: Final answer
    x = 1,864,597.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.