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Finding the Third Proportional to 67,557 and 143,862

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Solution

The third proportional to 67,557 and 143,862 is: 306,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,557 : 143,862 = 143,862 : x
  2. Step 2: Convert to fraction form
    67,557/143,862 = 143,862/x
  3. Step 3: Cross multiply
    67,557x = 143,862 × 143,862
  4. Step 4: Simplify right side
    67,557x = 20,696,275,044
  5. Step 5: Solve for x
    x = 20,696,275,044/67,557
  6. Step 6: Final answer
    x = 306,352.78

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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.