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Finding the Third Proportional to 86,585.06 and 138,317.06

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Solution

The third proportional to 86,585.06 and 138,317.06 is: 220,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.06 : 138,317.06 = 138,317.06 : x
  2. Step 2: Convert to fraction form
    86,585.06/138,317.06 = 138,317.06/x
  3. Step 3: Cross multiply
    86,585.06x = 138,317.06 × 138,317.06
  4. Step 4: Simplify right side
    86,585.06x = 19,131,609,778.63
  5. Step 5: Solve for x
    x = 19,131,609,778.63/86,585.06
  6. Step 6: Final answer
    x = 220,957.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.