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Finding the Third Proportional to 98,444 and 231,118

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Solution

The third proportional to 98,444 and 231,118 is: 542,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,444 : 231,118 = 231,118 : x
  2. Step 2: Convert to fraction form
    98,444/231,118 = 231,118/x
  3. Step 3: Cross multiply
    98,444x = 231,118 × 231,118
  4. Step 4: Simplify right side
    98,444x = 53,415,529,924
  5. Step 5: Solve for x
    x = 53,415,529,924/98,444
  6. Step 6: Final answer
    x = 542,598.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.