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Finding the Third Proportional to 431,577.13 and 653,363.69

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Solution

The third proportional to 431,577.13 and 653,363.69 is: 989,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,577.13 : 653,363.69 = 653,363.69 : x
  2. Step 2: Convert to fraction form
    431,577.13/653,363.69 = 653,363.69/x
  3. Step 3: Cross multiply
    431,577.13x = 653,363.69 × 653,363.69
  4. Step 4: Simplify right side
    431,577.13x = 426,884,108,143.60
  5. Step 5: Solve for x
    x = 426,884,108,143.60/431,577.13
  6. Step 6: Final answer
    x = 989,125.89

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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.