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Finding the Third Proportional to 66,356.50 and 144,377

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Solution

The third proportional to 66,356.50 and 144,377 is: 314,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,356.50 : 144,377 = 144,377 : x
  2. Step 2: Convert to fraction form
    66,356.50/144,377 = 144,377/x
  3. Step 3: Cross multiply
    66,356.50x = 144,377 × 144,377
  4. Step 4: Simplify right side
    66,356.50x = 20,844,718,129
  5. Step 5: Solve for x
    x = 20,844,718,129/66,356.50
  6. Step 6: Final answer
    x = 314,132.27

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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.