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Finding the Third Proportional to 202,439 and 429,785

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Solution

The third proportional to 202,439 and 429,785 is: 912,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,439 : 429,785 = 429,785 : x
  2. Step 2: Convert to fraction form
    202,439/429,785 = 429,785/x
  3. Step 3: Cross multiply
    202,439x = 429,785 × 429,785
  4. Step 4: Simplify right side
    202,439x = 184,715,146,225
  5. Step 5: Solve for x
    x = 184,715,146,225/202,439
  6. Step 6: Final answer
    x = 912,448.42

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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.