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Finding the Third Proportional to 121,354 and 252,391

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Solution

The third proportional to 121,354 and 252,391 is: 524,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,354 : 252,391 = 252,391 : x
  2. Step 2: Convert to fraction form
    121,354/252,391 = 252,391/x
  3. Step 3: Cross multiply
    121,354x = 252,391 × 252,391
  4. Step 4: Simplify right side
    121,354x = 63,701,216,881
  5. Step 5: Solve for x
    x = 63,701,216,881/121,354
  6. Step 6: Final answer
    x = 524,920.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.