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Finding the Third Proportional to 121,341,360 and 171,694,320

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Solution

The third proportional to 121,341,360 and 171,694,320 is: 242,942,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,341,360 : 171,694,320 = 171,694,320 : x
  2. Step 2: Convert to fraction form
    121,341,360/171,694,320 = 171,694,320/x
  3. Step 3: Cross multiply
    121,341,360x = 171,694,320 × 171,694,320
  4. Step 4: Simplify right side
    121,341,360x = 29,478,939,520,262,400
  5. Step 5: Solve for x
    x = 29,478,939,520,262,400/121,341,360
  6. Step 6: Final answer
    x = 242,942,221.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.