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Finding the Third Proportional to 66,620 and 141,871

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Solution

The third proportional to 66,620 and 141,871 is: 302,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,620 : 141,871 = 141,871 : x
  2. Step 2: Convert to fraction form
    66,620/141,871 = 141,871/x
  3. Step 3: Cross multiply
    66,620x = 141,871 × 141,871
  4. Step 4: Simplify right side
    66,620x = 20,127,380,641
  5. Step 5: Solve for x
    x = 20,127,380,641/66,620
  6. Step 6: Final answer
    x = 302,122.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.