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Finding the Third Proportional to 75,328 and 110,688

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Solution

The third proportional to 75,328 and 110,688 is: 162,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328 : 110,688 = 110,688 : x
  2. Step 2: Convert to fraction form
    75,328/110,688 = 110,688/x
  3. Step 3: Cross multiply
    75,328x = 110,688 × 110,688
  4. Step 4: Simplify right side
    75,328x = 12,251,833,344
  5. Step 5: Solve for x
    x = 12,251,833,344/75,328
  6. Step 6: Final answer
    x = 162,646.47

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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.