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Finding the Third Proportional to 66,820 and 98,238

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Solution

The third proportional to 66,820 and 98,238 is: 144,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820 : 98,238 = 98,238 : x
  2. Step 2: Convert to fraction form
    66,820/98,238 = 98,238/x
  3. Step 3: Cross multiply
    66,820x = 98,238 × 98,238
  4. Step 4: Simplify right side
    66,820x = 9,650,704,644
  5. Step 5: Solve for x
    x = 9,650,704,644/66,820
  6. Step 6: Final answer
    x = 144,428.38

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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.