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Finding the Third Proportional to 61,648 and 80,603

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Solution

The third proportional to 61,648 and 80,603 is: 105,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 80,603 = 80,603 : x
  2. Step 2: Convert to fraction form
    61,648/80,603 = 80,603/x
  3. Step 3: Cross multiply
    61,648x = 80,603 × 80,603
  4. Step 4: Simplify right side
    61,648x = 6,496,843,609
  5. Step 5: Solve for x
    x = 6,496,843,609/61,648
  6. Step 6: Final answer
    x = 105,386.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.