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Finding the Third Proportional to 187,837 and 406,988

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Solution

The third proportional to 187,837 and 406,988 is: 881,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,837 : 406,988 = 406,988 : x
  2. Step 2: Convert to fraction form
    187,837/406,988 = 406,988/x
  3. Step 3: Cross multiply
    187,837x = 406,988 × 406,988
  4. Step 4: Simplify right side
    187,837x = 165,639,232,144
  5. Step 5: Solve for x
    x = 165,639,232,144/187,837
  6. Step 6: Final answer
    x = 881,824.31

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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.