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Finding the Third Proportional to 86,242.50 and 138,476.25

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Solution

The third proportional to 86,242.50 and 138,476.25 is: 222,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,242.50 : 138,476.25 = 138,476.25 : x
  2. Step 2: Convert to fraction form
    86,242.50/138,476.25 = 138,476.25/x
  3. Step 3: Cross multiply
    86,242.50x = 138,476.25 × 138,476.25
  4. Step 4: Simplify right side
    86,242.50x = 19,175,671,814.06
  5. Step 5: Solve for x
    x = 19,175,671,814.06/86,242.50
  6. Step 6: Final answer
    x = 222,345.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.