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Finding the Third Proportional to 138,570.75 and 198,622.13

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Solution

The third proportional to 138,570.75 and 198,622.13 is: 284,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,570.75 : 198,622.13 = 198,622.13 : x
  2. Step 2: Convert to fraction form
    138,570.75/198,622.13 = 198,622.13/x
  3. Step 3: Cross multiply
    138,570.75x = 198,622.13 × 198,622.13
  4. Step 4: Simplify right side
    138,570.75x = 39,450,748,539.52
  5. Step 5: Solve for x
    x = 39,450,748,539.52/138,570.75
  6. Step 6: Final answer
    x = 284,697.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.