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Finding the Third Proportional to 457,670 and 991,588

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Solution

The third proportional to 457,670 and 991,588 is: 2,148,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,670 : 991,588 = 991,588 : x
  2. Step 2: Convert to fraction form
    457,670/991,588 = 991,588/x
  3. Step 3: Cross multiply
    457,670x = 991,588 × 991,588
  4. Step 4: Simplify right side
    457,670x = 983,246,761,744
  5. Step 5: Solve for x
    x = 983,246,761,744/457,670
  6. Step 6: Final answer
    x = 2,148,374.95

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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.