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Finding the Third Proportional to 247,646 and 542,760

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Solution

The third proportional to 247,646 and 542,760 is: 1,189,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,646 : 542,760 = 542,760 : x
  2. Step 2: Convert to fraction form
    247,646/542,760 = 542,760/x
  3. Step 3: Cross multiply
    247,646x = 542,760 × 542,760
  4. Step 4: Simplify right side
    247,646x = 294,588,417,600
  5. Step 5: Solve for x
    x = 294,588,417,600/247,646
  6. Step 6: Final answer
    x = 1,189,554.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.