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Finding the Third Proportional to 202,470 and 429,855

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Solution

The third proportional to 202,470 and 429,855 is: 912,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470 : 429,855 = 429,855 : x
  2. Step 2: Convert to fraction form
    202,470/429,855 = 429,855/x
  3. Step 3: Cross multiply
    202,470x = 429,855 × 429,855
  4. Step 4: Simplify right side
    202,470x = 184,775,321,025
  5. Step 5: Solve for x
    x = 184,775,321,025/202,470
  6. Step 6: Final answer
    x = 912,605.92

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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.