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Finding the Third Proportional to 66,480 and 145,920

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Solution

The third proportional to 66,480 and 145,920 is: 320,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 145,920 = 145,920 : x
  2. Step 2: Convert to fraction form
    66,480/145,920 = 145,920/x
  3. Step 3: Cross multiply
    66,480x = 145,920 × 145,920
  4. Step 4: Simplify right side
    66,480x = 21,292,646,400
  5. Step 5: Solve for x
    x = 21,292,646,400/66,480
  6. Step 6: Final answer
    x = 320,286.50

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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.