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Finding the Third Proportional to 66,280 and 100,385

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Solution

The third proportional to 66,280 and 100,385 is: 152,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280 : 100,385 = 100,385 : x
  2. Step 2: Convert to fraction form
    66,280/100,385 = 100,385/x
  3. Step 3: Cross multiply
    66,280x = 100,385 × 100,385
  4. Step 4: Simplify right side
    66,280x = 10,077,148,225
  5. Step 5: Solve for x
    x = 10,077,148,225/66,280
  6. Step 6: Final answer
    x = 152,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.