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Finding the Third Proportional to 61,980 and 90,366

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Solution

The third proportional to 61,980 and 90,366 is: 131,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 90,366 = 90,366 : x
  2. Step 2: Convert to fraction form
    61,980/90,366 = 90,366/x
  3. Step 3: Cross multiply
    61,980x = 90,366 × 90,366
  4. Step 4: Simplify right side
    61,980x = 8,166,013,956
  5. Step 5: Solve for x
    x = 8,166,013,956/61,980
  6. Step 6: Final answer
    x = 131,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.