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Finding the Third Proportional to 121,853 and 247,054

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Solution

The third proportional to 121,853 and 247,054 is: 500,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,853 : 247,054 = 247,054 : x
  2. Step 2: Convert to fraction form
    121,853/247,054 = 247,054/x
  3. Step 3: Cross multiply
    121,853x = 247,054 × 247,054
  4. Step 4: Simplify right side
    121,853x = 61,035,678,916
  5. Step 5: Solve for x
    x = 61,035,678,916/121,853
  6. Step 6: Final answer
    x = 500,895.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.