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Finding the Third Proportional to 261,535.87 and 403,957.13

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Solution

The third proportional to 261,535.87 and 403,957.13 is: 623,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,535.87 : 403,957.13 = 403,957.13 : x
  2. Step 2: Convert to fraction form
    261,535.87/403,957.13 = 403,957.13/x
  3. Step 3: Cross multiply
    261,535.87x = 403,957.13 × 403,957.13
  4. Step 4: Simplify right side
    261,535.87x = 163,181,358,838.27
  5. Step 5: Solve for x
    x = 163,181,358,838.27/261,535.87
  6. Step 6: Final answer
    x = 623,934.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.