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Finding the Third Proportional to 187,116.50 and 286,287.75

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Solution

The third proportional to 187,116.50 and 286,287.75 is: 438,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,116.50 : 286,287.75 = 286,287.75 : x
  2. Step 2: Convert to fraction form
    187,116.50/286,287.75 = 286,287.75/x
  3. Step 3: Cross multiply
    187,116.50x = 286,287.75 × 286,287.75
  4. Step 4: Simplify right side
    187,116.50x = 81,960,675,800.06
  5. Step 5: Solve for x
    x = 81,960,675,800.06/187,116.50
  6. Step 6: Final answer
    x = 438,019.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.