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Finding the Third Proportional to 98,388 and 138,060

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Solution

The third proportional to 98,388 and 138,060 is: 193,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388 : 138,060 = 138,060 : x
  2. Step 2: Convert to fraction form
    98,388/138,060 = 138,060/x
  3. Step 3: Cross multiply
    98,388x = 138,060 × 138,060
  4. Step 4: Simplify right side
    98,388x = 19,060,563,600
  5. Step 5: Solve for x
    x = 19,060,563,600/98,388
  6. Step 6: Final answer
    x = 193,728.54

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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.