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Finding the Third Proportional to 256,591.13 and 369,613.13

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Solution

The third proportional to 256,591.13 and 369,613.13 is: 532,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,591.13 : 369,613.13 = 369,613.13 : x
  2. Step 2: Convert to fraction form
    256,591.13/369,613.13 = 369,613.13/x
  3. Step 3: Cross multiply
    256,591.13x = 369,613.13 × 369,613.13
  4. Step 4: Simplify right side
    256,591.13x = 136,613,862,172.27
  5. Step 5: Solve for x
    x = 136,613,862,172.27/256,591.13
  6. Step 6: Final answer
    x = 532,418.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.