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Finding the Third Proportional to 431,742 and 916,098

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Solution

The third proportional to 431,742 and 916,098 is: 1,943,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,742 : 916,098 = 916,098 : x
  2. Step 2: Convert to fraction form
    431,742/916,098 = 916,098/x
  3. Step 3: Cross multiply
    431,742x = 916,098 × 916,098
  4. Step 4: Simplify right side
    431,742x = 839,235,545,604
  5. Step 5: Solve for x
    x = 839,235,545,604/431,742
  6. Step 6: Final answer
    x = 1,943,835.78

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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.