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Finding the Third Proportional to 322,122 and 425,915

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Solution

The third proportional to 322,122 and 425,915 is: 563,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,122 : 425,915 = 425,915 : x
  2. Step 2: Convert to fraction form
    322,122/425,915 = 425,915/x
  3. Step 3: Cross multiply
    322,122x = 425,915 × 425,915
  4. Step 4: Simplify right side
    322,122x = 181,403,587,225
  5. Step 5: Solve for x
    x = 181,403,587,225/322,122
  6. Step 6: Final answer
    x = 563,151.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.