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Finding the Third Proportional to 325,073 and 431,336

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Solution

The third proportional to 325,073 and 431,336 is: 572,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,073 : 431,336 = 431,336 : x
  2. Step 2: Convert to fraction form
    325,073/431,336 = 431,336/x
  3. Step 3: Cross multiply
    325,073x = 431,336 × 431,336
  4. Step 4: Simplify right side
    325,073x = 186,050,744,896
  5. Step 5: Solve for x
    x = 186,050,744,896/325,073
  6. Step 6: Final answer
    x = 572,335.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.