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Finding the Third Proportional to 38,343 and 78,545.25

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Solution

The third proportional to 38,343 and 78,545.25 is: 160,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,343 : 78,545.25 = 78,545.25 : x
  2. Step 2: Convert to fraction form
    38,343/78,545.25 = 78,545.25/x
  3. Step 3: Cross multiply
    38,343x = 78,545.25 × 78,545.25
  4. Step 4: Simplify right side
    38,343x = 6,169,356,297.56
  5. Step 5: Solve for x
    x = 6,169,356,297.56/38,343
  6. Step 6: Final answer
    x = 160,899.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.