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Finding the Third Proportional to 39,908 and 83,948

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Solution

The third proportional to 39,908 and 83,948 is: 176,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,908 : 83,948 = 83,948 : x
  2. Step 2: Convert to fraction form
    39,908/83,948 = 83,948/x
  3. Step 3: Cross multiply
    39,908x = 83,948 × 83,948
  4. Step 4: Simplify right side
    39,908x = 7,047,266,704
  5. Step 5: Solve for x
    x = 7,047,266,704/39,908
  6. Step 6: Final answer
    x = 176,587.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.