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Finding the Third Proportional to 62,970 and 137,620

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Solution

The third proportional to 62,970 and 137,620 is: 300,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,970 : 137,620 = 137,620 : x
  2. Step 2: Convert to fraction form
    62,970/137,620 = 137,620/x
  3. Step 3: Cross multiply
    62,970x = 137,620 × 137,620
  4. Step 4: Simplify right side
    62,970x = 18,939,264,400
  5. Step 5: Solve for x
    x = 18,939,264,400/62,970
  6. Step 6: Final answer
    x = 300,766.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.