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Finding the Third Proportional to 298,063.13 and 643,663.13

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Solution

The third proportional to 298,063.13 and 643,663.13 is: 1,389,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,063.13 : 643,663.13 = 643,663.13 : x
  2. Step 2: Convert to fraction form
    298,063.13/643,663.13 = 643,663.13/x
  3. Step 3: Cross multiply
    298,063.13x = 643,663.13 × 643,663.13
  4. Step 4: Simplify right side
    298,063.13x = 414,302,218,484.77
  5. Step 5: Solve for x
    x = 414,302,218,484.77/298,063.13
  6. Step 6: Final answer
    x = 1,389,981.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.