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Finding the Third Proportional to 108,432 and 162,072

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Solution

The third proportional to 108,432 and 162,072 is: 242,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,432 : 162,072 = 162,072 : x
  2. Step 2: Convert to fraction form
    108,432/162,072 = 162,072/x
  3. Step 3: Cross multiply
    108,432x = 162,072 × 162,072
  4. Step 4: Simplify right side
    108,432x = 26,267,333,184
  5. Step 5: Solve for x
    x = 26,267,333,184/108,432
  6. Step 6: Final answer
    x = 242,247.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.