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Finding the Third Proportional to 66,407 and 98,670

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Solution

The third proportional to 66,407 and 98,670 is: 146,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,407 : 98,670 = 98,670 : x
  2. Step 2: Convert to fraction form
    66,407/98,670 = 98,670/x
  3. Step 3: Cross multiply
    66,407x = 98,670 × 98,670
  4. Step 4: Simplify right side
    66,407x = 9,735,768,900
  5. Step 5: Solve for x
    x = 9,735,768,900/66,407
  6. Step 6: Final answer
    x = 146,607.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.