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Finding the Third Proportional to 66,918 and 148,598

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Solution

The third proportional to 66,918 and 148,598 is: 329,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,918 : 148,598 = 148,598 : x
  2. Step 2: Convert to fraction form
    66,918/148,598 = 148,598/x
  3. Step 3: Cross multiply
    66,918x = 148,598 × 148,598
  4. Step 4: Simplify right side
    66,918x = 22,081,365,604
  5. Step 5: Solve for x
    x = 22,081,365,604/66,918
  6. Step 6: Final answer
    x = 329,976.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.