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Finding the Third Proportional to 121,012 and 169,260

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Solution

The third proportional to 121,012 and 169,260 is: 236,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,012 : 169,260 = 169,260 : x
  2. Step 2: Convert to fraction form
    121,012/169,260 = 169,260/x
  3. Step 3: Cross multiply
    121,012x = 169,260 × 169,260
  4. Step 4: Simplify right side
    121,012x = 28,648,947,600
  5. Step 5: Solve for x
    x = 28,648,947,600/121,012
  6. Step 6: Final answer
    x = 236,744.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.