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Finding the Third Proportional to 66,881 and 142,429

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Solution

The third proportional to 66,881 and 142,429 is: 303,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,881 : 142,429 = 142,429 : x
  2. Step 2: Convert to fraction form
    66,881/142,429 = 142,429/x
  3. Step 3: Cross multiply
    66,881x = 142,429 × 142,429
  4. Step 4: Simplify right side
    66,881x = 20,286,020,041
  5. Step 5: Solve for x
    x = 20,286,020,041/66,881
  6. Step 6: Final answer
    x = 303,315.14

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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.