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Finding the Third Proportional to 66,960 and 98,130

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Solution

The third proportional to 66,960 and 98,130 is: 143,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,960 : 98,130 = 98,130 : x
  2. Step 2: Convert to fraction form
    66,960/98,130 = 98,130/x
  3. Step 3: Cross multiply
    66,960x = 98,130 × 98,130
  4. Step 4: Simplify right side
    66,960x = 9,629,496,900
  5. Step 5: Solve for x
    x = 9,629,496,900/66,960
  6. Step 6: Final answer
    x = 143,809.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.