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Finding the Third Proportional to 70,130 and 98,643

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Solution

The third proportional to 70,130 and 98,643 is: 138,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130 : 98,643 = 98,643 : x
  2. Step 2: Convert to fraction form
    70,130/98,643 = 98,643/x
  3. Step 3: Cross multiply
    70,130x = 98,643 × 98,643
  4. Step 4: Simplify right side
    70,130x = 9,730,441,449
  5. Step 5: Solve for x
    x = 9,730,441,449/70,130
  6. Step 6: Final answer
    x = 138,748.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.