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Finding the Third Proportional to 138,865.50 and 186,152.63

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Solution

The third proportional to 138,865.50 and 186,152.63 is: 249,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,865.50 : 186,152.63 = 186,152.63 : x
  2. Step 2: Convert to fraction form
    138,865.50/186,152.63 = 186,152.63/x
  3. Step 3: Cross multiply
    138,865.50x = 186,152.63 × 186,152.63
  4. Step 4: Simplify right side
    138,865.50x = 34,652,799,794.39
  5. Step 5: Solve for x
    x = 34,652,799,794.39/138,865.50
  6. Step 6: Final answer
    x = 249,542.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.