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Finding the Third Proportional to 431,703 and 653,577

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Solution

The third proportional to 431,703 and 653,577 is: 989,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,703 : 653,577 = 653,577 : x
  2. Step 2: Convert to fraction form
    431,703/653,577 = 653,577/x
  3. Step 3: Cross multiply
    431,703x = 653,577 × 653,577
  4. Step 4: Simplify right side
    431,703x = 427,162,894,929
  5. Step 5: Solve for x
    x = 427,162,894,929/431,703
  6. Step 6: Final answer
    x = 989,483.27

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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.