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Finding the Third Proportional to 431,700.75 and 653,572.13

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Solution

The third proportional to 431,700.75 and 653,572.13 is: 989,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,700.75 : 653,572.13 = 653,572.13 : x
  2. Step 2: Convert to fraction form
    431,700.75/653,572.13 = 653,572.13/x
  3. Step 3: Cross multiply
    431,700.75x = 653,572.13 × 653,572.13
  4. Step 4: Simplify right side
    431,700.75x = 427,156,522,577.02
  5. Step 5: Solve for x
    x = 427,156,522,577.02/431,700.75
  6. Step 6: Final answer
    x = 989,473.66

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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.