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Finding the Third Proportional to 66,473 and 143,510

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Solution

The third proportional to 66,473 and 143,510 is: 309,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,473 : 143,510 = 143,510 : x
  2. Step 2: Convert to fraction form
    66,473/143,510 = 143,510/x
  3. Step 3: Cross multiply
    66,473x = 143,510 × 143,510
  4. Step 4: Simplify right side
    66,473x = 20,595,120,100
  5. Step 5: Solve for x
    x = 20,595,120,100/66,473
  6. Step 6: Final answer
    x = 309,826.85

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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.