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Finding the Third Proportional to 420,228 and 645,894

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Solution

The third proportional to 420,228 and 645,894 is: 992,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228 : 645,894 = 645,894 : x
  2. Step 2: Convert to fraction form
    420,228/645,894 = 645,894/x
  3. Step 3: Cross multiply
    420,228x = 645,894 × 645,894
  4. Step 4: Simplify right side
    420,228x = 417,179,059,236
  5. Step 5: Solve for x
    x = 417,179,059,236/420,228
  6. Step 6: Final answer
    x = 992,744.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.