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Finding the Third Proportional to 70,622 and 98,780

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Solution

The third proportional to 70,622 and 98,780 is: 138,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,622 : 98,780 = 98,780 : x
  2. Step 2: Convert to fraction form
    70,622/98,780 = 98,780/x
  3. Step 3: Cross multiply
    70,622x = 98,780 × 98,780
  4. Step 4: Simplify right side
    70,622x = 9,757,488,400
  5. Step 5: Solve for x
    x = 9,757,488,400/70,622
  6. Step 6: Final answer
    x = 138,165.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.