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Finding the Third Proportional to 416,864 and 645,888

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Solution

The third proportional to 416,864 and 645,888 is: 1,000,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,864 : 645,888 = 645,888 : x
  2. Step 2: Convert to fraction form
    416,864/645,888 = 645,888/x
  3. Step 3: Cross multiply
    416,864x = 645,888 × 645,888
  4. Step 4: Simplify right side
    416,864x = 417,171,308,544
  5. Step 5: Solve for x
    x = 417,171,308,544/416,864
  6. Step 6: Final answer
    x = 1,000,737.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.