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Finding the Third Proportional to 429,134 and 913,708

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Solution

The third proportional to 429,134 and 913,708 is: 1,945,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134 : 913,708 = 913,708 : x
  2. Step 2: Convert to fraction form
    429,134/913,708 = 913,708/x
  3. Step 3: Cross multiply
    429,134x = 913,708 × 913,708
  4. Step 4: Simplify right side
    429,134x = 834,862,309,264
  5. Step 5: Solve for x
    x = 834,862,309,264/429,134
  6. Step 6: Final answer
    x = 1,945,458.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.