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Finding the Third Proportional to 337,639.50 and 720,472.50

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Solution

The third proportional to 337,639.50 and 720,472.50 is: 1,537,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,639.50 : 720,472.50 = 720,472.50 : x
  2. Step 2: Convert to fraction form
    337,639.50/720,472.50 = 720,472.50/x
  3. Step 3: Cross multiply
    337,639.50x = 720,472.50 × 720,472.50
  4. Step 4: Simplify right side
    337,639.50x = 519,080,623,256.25
  5. Step 5: Solve for x
    x = 519,080,623,256.25/337,639.50
  6. Step 6: Final answer
    x = 1,537,381.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.