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Finding the Third Proportional to 272,830.50 and 413,020.13

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Solution

The third proportional to 272,830.50 and 413,020.13 is: 625,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,830.50 : 413,020.13 = 413,020.13 : x
  2. Step 2: Convert to fraction form
    272,830.50/413,020.13 = 413,020.13/x
  3. Step 3: Cross multiply
    272,830.50x = 413,020.13 × 413,020.13
  4. Step 4: Simplify right side
    272,830.50x = 170,585,623,655.02
  5. Step 5: Solve for x
    x = 170,585,623,655.02/272,830.50
  6. Step 6: Final answer
    x = 625,243.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.