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Finding the Third Proportional to 187,840 and 407,522

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Solution

The third proportional to 187,840 and 407,522 is: 884,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,840 : 407,522 = 407,522 : x
  2. Step 2: Convert to fraction form
    187,840/407,522 = 407,522/x
  3. Step 3: Cross multiply
    187,840x = 407,522 × 407,522
  4. Step 4: Simplify right side
    187,840x = 166,074,180,484
  5. Step 5: Solve for x
    x = 166,074,180,484/187,840
  6. Step 6: Final answer
    x = 884,125.75

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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.