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Finding the Third Proportional to 63,015 and 137,585

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Solution

The third proportional to 63,015 and 137,585 is: 300,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,015 : 137,585 = 137,585 : x
  2. Step 2: Convert to fraction form
    63,015/137,585 = 137,585/x
  3. Step 3: Cross multiply
    63,015x = 137,585 × 137,585
  4. Step 4: Simplify right side
    63,015x = 18,929,632,225
  5. Step 5: Solve for x
    x = 18,929,632,225/63,015
  6. Step 6: Final answer
    x = 300,398.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.