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Finding the Third Proportional to 66,497 and 142,210

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Solution

The third proportional to 66,497 and 142,210 is: 304,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,497 : 142,210 = 142,210 : x
  2. Step 2: Convert to fraction form
    66,497/142,210 = 142,210/x
  3. Step 3: Cross multiply
    66,497x = 142,210 × 142,210
  4. Step 4: Simplify right side
    66,497x = 20,223,684,100
  5. Step 5: Solve for x
    x = 20,223,684,100/66,497
  6. Step 6: Final answer
    x = 304,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.