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Finding the Third Proportional to 181,920 and 382,691.25

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Solution

The third proportional to 181,920 and 382,691.25 is: 805,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,920 : 382,691.25 = 382,691.25 : x
  2. Step 2: Convert to fraction form
    181,920/382,691.25 = 382,691.25/x
  3. Step 3: Cross multiply
    181,920x = 382,691.25 × 382,691.25
  4. Step 4: Simplify right side
    181,920x = 146,452,592,826.56
  5. Step 5: Solve for x
    x = 146,452,592,826.56/181,920
  6. Step 6: Final answer
    x = 805,038.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.