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Finding the Third Proportional to 66,438 and 143,948

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Solution

The third proportional to 66,438 and 143,948 is: 311,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438 : 143,948 = 143,948 : x
  2. Step 2: Convert to fraction form
    66,438/143,948 = 143,948/x
  3. Step 3: Cross multiply
    66,438x = 143,948 × 143,948
  4. Step 4: Simplify right side
    66,438x = 20,721,026,704
  5. Step 5: Solve for x
    x = 20,721,026,704/66,438
  6. Step 6: Final answer
    x = 311,885.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.