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Finding the Third Proportional to 202,472 and 429,859

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Solution

The third proportional to 202,472 and 429,859 is: 912,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,472 : 429,859 = 429,859 : x
  2. Step 2: Convert to fraction form
    202,472/429,859 = 429,859/x
  3. Step 3: Cross multiply
    202,472x = 429,859 × 429,859
  4. Step 4: Simplify right side
    202,472x = 184,778,759,881
  5. Step 5: Solve for x
    x = 184,778,759,881/202,472
  6. Step 6: Final answer
    x = 912,613.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.