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Finding the Third Proportional to 625,428 and 1,219,746

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Solution

The third proportional to 625,428 and 1,219,746 is: 2,378,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,428 : 1,219,746 = 1,219,746 : x
  2. Step 2: Convert to fraction form
    625,428/1,219,746 = 1,219,746/x
  3. Step 3: Cross multiply
    625,428x = 1,219,746 × 1,219,746
  4. Step 4: Simplify right side
    625,428x = 1,487,780,304,516
  5. Step 5: Solve for x
    x = 1,487,780,304,516/625,428
  6. Step 6: Final answer
    x = 2,378,819.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.