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Finding the Third Proportional to 61,607.50 and 90,215

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Solution

The third proportional to 61,607.50 and 90,215 is: 132,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,607.50 : 90,215 = 90,215 : x
  2. Step 2: Convert to fraction form
    61,607.50/90,215 = 90,215/x
  3. Step 3: Cross multiply
    61,607.50x = 90,215 × 90,215
  4. Step 4: Simplify right side
    61,607.50x = 8,138,746,225
  5. Step 5: Solve for x
    x = 8,138,746,225/61,607.50
  6. Step 6: Final answer
    x = 132,106.42

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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.