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Finding the Third Proportional to 66,026 and 142,320

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Solution

The third proportional to 66,026 and 142,320 is: 306,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,026 : 142,320 = 142,320 : x
  2. Step 2: Convert to fraction form
    66,026/142,320 = 142,320/x
  3. Step 3: Cross multiply
    66,026x = 142,320 × 142,320
  4. Step 4: Simplify right side
    66,026x = 20,254,982,400
  5. Step 5: Solve for x
    x = 20,254,982,400/66,026
  6. Step 6: Final answer
    x = 306,772.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.