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Finding the Third Proportional to 86,308.50 and 187,318.50

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Solution

The third proportional to 86,308.50 and 187,318.50 is: 406,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,308.50 : 187,318.50 = 187,318.50 : x
  2. Step 2: Convert to fraction form
    86,308.50/187,318.50 = 187,318.50/x
  3. Step 3: Cross multiply
    86,308.50x = 187,318.50 × 187,318.50
  4. Step 4: Simplify right side
    86,308.50x = 35,088,220,442.25
  5. Step 5: Solve for x
    x = 35,088,220,442.25/86,308.50
  6. Step 6: Final answer
    x = 406,544.20

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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.