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Finding the Third Proportional to 121,213 and 245,887

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Solution

The third proportional to 121,213 and 245,887 is: 498,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,213 : 245,887 = 245,887 : x
  2. Step 2: Convert to fraction form
    121,213/245,887 = 245,887/x
  3. Step 3: Cross multiply
    121,213x = 245,887 × 245,887
  4. Step 4: Simplify right side
    121,213x = 60,460,416,769
  5. Step 5: Solve for x
    x = 60,460,416,769/121,213
  6. Step 6: Final answer
    x = 498,794.82

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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.