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Finding the Third Proportional to 121,126,578 and 181,645,380

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Solution

The third proportional to 121,126,578 and 181,645,380 is: 272,401,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,126,578 : 181,645,380 = 181,645,380 : x
  2. Step 2: Convert to fraction form
    121,126,578/181,645,380 = 181,645,380/x
  3. Step 3: Cross multiply
    121,126,578x = 181,645,380 × 181,645,380
  4. Step 4: Simplify right side
    121,126,578x = 32,995,044,075,344,400
  5. Step 5: Solve for x
    x = 32,995,044,075,344,400/121,126,578
  6. Step 6: Final answer
    x = 272,401,355.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.