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Finding the Third Proportional to 66,480 and 99,495

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Solution

The third proportional to 66,480 and 99,495 is: 148,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 99,495 = 99,495 : x
  2. Step 2: Convert to fraction form
    66,480/99,495 = 99,495/x
  3. Step 3: Cross multiply
    66,480x = 99,495 × 99,495
  4. Step 4: Simplify right side
    66,480x = 9,899,255,025
  5. Step 5: Solve for x
    x = 9,899,255,025/66,480
  6. Step 6: Final answer
    x = 148,905.76

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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.