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Finding the Third Proportional to 61,011 and 90,982

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Solution

The third proportional to 61,011 and 90,982 is: 135,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,011 : 90,982 = 90,982 : x
  2. Step 2: Convert to fraction form
    61,011/90,982 = 90,982/x
  3. Step 3: Cross multiply
    61,011x = 90,982 × 90,982
  4. Step 4: Simplify right side
    61,011x = 8,277,724,324
  5. Step 5: Solve for x
    x = 8,277,724,324/61,011
  6. Step 6: Final answer
    x = 135,675.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.