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Finding the Third Proportional to 187,080 and 400,724

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Solution

The third proportional to 187,080 and 400,724 is: 858,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,080 : 400,724 = 400,724 : x
  2. Step 2: Convert to fraction form
    187,080/400,724 = 400,724/x
  3. Step 3: Cross multiply
    187,080x = 400,724 × 400,724
  4. Step 4: Simplify right side
    187,080x = 160,579,724,176
  5. Step 5: Solve for x
    x = 160,579,724,176/187,080
  6. Step 6: Final answer
    x = 858,347.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.