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Finding the Third Proportional to 400,374 and 870,624

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Solution

The third proportional to 400,374 and 870,624 is: 1,893,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,374 : 870,624 = 870,624 : x
  2. Step 2: Convert to fraction form
    400,374/870,624 = 870,624/x
  3. Step 3: Cross multiply
    400,374x = 870,624 × 870,624
  4. Step 4: Simplify right side
    400,374x = 757,986,149,376
  5. Step 5: Solve for x
    x = 757,986,149,376/400,374
  6. Step 6: Final answer
    x = 1,893,195.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.