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Finding the Third Proportional to 418,438 and 914,630

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Solution

The third proportional to 418,438 and 914,630 is: 1,999,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,438 : 914,630 = 914,630 : x
  2. Step 2: Convert to fraction form
    418,438/914,630 = 914,630/x
  3. Step 3: Cross multiply
    418,438x = 914,630 × 914,630
  4. Step 4: Simplify right side
    418,438x = 836,548,036,900
  5. Step 5: Solve for x
    x = 836,548,036,900/418,438
  6. Step 6: Final answer
    x = 1,999,216.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.