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Finding the Third Proportional to 62,430 and 137,585

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Solution

The third proportional to 62,430 and 137,585 is: 303,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,430 : 137,585 = 137,585 : x
  2. Step 2: Convert to fraction form
    62,430/137,585 = 137,585/x
  3. Step 3: Cross multiply
    62,430x = 137,585 × 137,585
  4. Step 4: Simplify right side
    62,430x = 18,929,632,225
  5. Step 5: Solve for x
    x = 18,929,632,225/62,430
  6. Step 6: Final answer
    x = 303,213.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.