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Finding the Third Proportional to 98,439 and 147,628

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Solution

The third proportional to 98,439 and 147,628 is: 221,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,439 : 147,628 = 147,628 : x
  2. Step 2: Convert to fraction form
    98,439/147,628 = 147,628/x
  3. Step 3: Cross multiply
    98,439x = 147,628 × 147,628
  4. Step 4: Simplify right side
    98,439x = 21,794,026,384
  5. Step 5: Solve for x
    x = 21,794,026,384/98,439
  6. Step 6: Final answer
    x = 221,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.