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Finding the Third Proportional to 387,171 and 586,584

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Solution

The third proportional to 387,171 and 586,584 is: 888,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,171 : 586,584 = 586,584 : x
  2. Step 2: Convert to fraction form
    387,171/586,584 = 586,584/x
  3. Step 3: Cross multiply
    387,171x = 586,584 × 586,584
  4. Step 4: Simplify right side
    387,171x = 344,080,789,056
  5. Step 5: Solve for x
    x = 344,080,789,056/387,171
  6. Step 6: Final answer
    x = 888,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.