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Finding the Third Proportional to 121,053 and 262,518

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Solution

The third proportional to 121,053 and 262,518 is: 569,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,053 : 262,518 = 262,518 : x
  2. Step 2: Convert to fraction form
    121,053/262,518 = 262,518/x
  3. Step 3: Cross multiply
    121,053x = 262,518 × 262,518
  4. Step 4: Simplify right side
    121,053x = 68,915,700,324
  5. Step 5: Solve for x
    x = 68,915,700,324/121,053
  6. Step 6: Final answer
    x = 569,301.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.