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Finding the Third Proportional to 65,490 and 100,115

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Solution

The third proportional to 65,490 and 100,115 is: 153,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,490 : 100,115 = 100,115 : x
  2. Step 2: Convert to fraction form
    65,490/100,115 = 100,115/x
  3. Step 3: Cross multiply
    65,490x = 100,115 × 100,115
  4. Step 4: Simplify right side
    65,490x = 10,023,013,225
  5. Step 5: Solve for x
    x = 10,023,013,225/65,490
  6. Step 6: Final answer
    x = 153,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.