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Finding the Third Proportional to 66,726 and 145,068

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Solution

The third proportional to 66,726 and 145,068 is: 315,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,726 : 145,068 = 145,068 : x
  2. Step 2: Convert to fraction form
    66,726/145,068 = 145,068/x
  3. Step 3: Cross multiply
    66,726x = 145,068 × 145,068
  4. Step 4: Simplify right side
    66,726x = 21,044,724,624
  5. Step 5: Solve for x
    x = 21,044,724,624/66,726
  6. Step 6: Final answer
    x = 315,390.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.