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Finding the Third Proportional to 61,413 and 133,639

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Solution

The third proportional to 61,413 and 133,639 is: 290,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413 : 133,639 = 133,639 : x
  2. Step 2: Convert to fraction form
    61,413/133,639 = 133,639/x
  3. Step 3: Cross multiply
    61,413x = 133,639 × 133,639
  4. Step 4: Simplify right side
    61,413x = 17,859,382,321
  5. Step 5: Solve for x
    x = 17,859,382,321/61,413
  6. Step 6: Final answer
    x = 290,807.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.