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Finding the Third Proportional to 303,698 and 657,472

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Solution

The third proportional to 303,698 and 657,472 is: 1,423,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,698 : 657,472 = 657,472 : x
  2. Step 2: Convert to fraction form
    303,698/657,472 = 657,472/x
  3. Step 3: Cross multiply
    303,698x = 657,472 × 657,472
  4. Step 4: Simplify right side
    303,698x = 432,269,430,784
  5. Step 5: Solve for x
    x = 432,269,430,784/303,698
  6. Step 6: Final answer
    x = 1,423,352.91

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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.