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Finding the Third Proportional to 354,712.50 and 521,700.75

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Solution

The third proportional to 354,712.50 and 521,700.75 is: 767,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712.50 : 521,700.75 = 521,700.75 : x
  2. Step 2: Convert to fraction form
    354,712.50/521,700.75 = 521,700.75/x
  3. Step 3: Cross multiply
    354,712.50x = 521,700.75 × 521,700.75
  4. Step 4: Simplify right side
    354,712.50x = 272,171,672,550.56
  5. Step 5: Solve for x
    x = 272,171,672,550.56/354,712.50
  6. Step 6: Final answer
    x = 767,302.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.