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Finding the Third Proportional to 66,818 and 142,532

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Solution

The third proportional to 66,818 and 142,532 is: 304,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,818 : 142,532 = 142,532 : x
  2. Step 2: Convert to fraction form
    66,818/142,532 = 142,532/x
  3. Step 3: Cross multiply
    66,818x = 142,532 × 142,532
  4. Step 4: Simplify right side
    66,818x = 20,315,371,024
  5. Step 5: Solve for x
    x = 20,315,371,024/66,818
  6. Step 6: Final answer
    x = 304,040.39

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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.