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Finding the Third Proportional to 455,442 and 723,864

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Solution

The third proportional to 455,442 and 723,864 is: 1,150,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,442 : 723,864 = 723,864 : x
  2. Step 2: Convert to fraction form
    455,442/723,864 = 723,864/x
  3. Step 3: Cross multiply
    455,442x = 723,864 × 723,864
  4. Step 4: Simplify right side
    455,442x = 523,979,090,496
  5. Step 5: Solve for x
    x = 523,979,090,496/455,442
  6. Step 6: Final answer
    x = 1,150,484.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.