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Finding the Third Proportional to 92,722.50 and 132,468

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Solution

The third proportional to 92,722.50 and 132,468 is: 189,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,722.50 : 132,468 = 132,468 : x
  2. Step 2: Convert to fraction form
    92,722.50/132,468 = 132,468/x
  3. Step 3: Cross multiply
    92,722.50x = 132,468 × 132,468
  4. Step 4: Simplify right side
    92,722.50x = 17,547,771,024
  5. Step 5: Solve for x
    x = 17,547,771,024/92,722.50
  6. Step 6: Final answer
    x = 189,250.41

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.