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Finding the Third Proportional to 66,478 and 99,491

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Solution

The third proportional to 66,478 and 99,491 is: 148,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,478 : 99,491 = 99,491 : x
  2. Step 2: Convert to fraction form
    66,478/99,491 = 99,491/x
  3. Step 3: Cross multiply
    66,478x = 99,491 × 99,491
  4. Step 4: Simplify right side
    66,478x = 9,898,459,081
  5. Step 5: Solve for x
    x = 9,898,459,081/66,478
  6. Step 6: Final answer
    x = 148,898.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.