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Finding the Third Proportional to 86,368.50 and 127,080

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Solution

The third proportional to 86,368.50 and 127,080 is: 186,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,368.50 : 127,080 = 127,080 : x
  2. Step 2: Convert to fraction form
    86,368.50/127,080 = 127,080/x
  3. Step 3: Cross multiply
    86,368.50x = 127,080 × 127,080
  4. Step 4: Simplify right side
    86,368.50x = 16,149,326,400
  5. Step 5: Solve for x
    x = 16,149,326,400/86,368.50
  6. Step 6: Final answer
    x = 186,981.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.