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Finding the Third Proportional to 399,502.13 and 538,255.13

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Solution

The third proportional to 399,502.13 and 538,255.13 is: 725,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,502.13 : 538,255.13 = 538,255.13 : x
  2. Step 2: Convert to fraction form
    399,502.13/538,255.13 = 538,255.13/x
  3. Step 3: Cross multiply
    399,502.13x = 538,255.13 × 538,255.13
  4. Step 4: Simplify right side
    399,502.13x = 289,718,579,588.77
  5. Step 5: Solve for x
    x = 289,718,579,588.77/399,502.13
  6. Step 6: Final answer
    x = 725,199.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.