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Finding the Third Proportional to 74,613 and 103,413

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Solution

The third proportional to 74,613 and 103,413 is: 143,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,613 : 103,413 = 103,413 : x
  2. Step 2: Convert to fraction form
    74,613/103,413 = 103,413/x
  3. Step 3: Cross multiply
    74,613x = 103,413 × 103,413
  4. Step 4: Simplify right side
    74,613x = 10,694,248,569
  5. Step 5: Solve for x
    x = 10,694,248,569/74,613
  6. Step 6: Final answer
    x = 143,329.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.