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Finding the Third Proportional to 121,335,374 and 259,676,851

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Solution

The third proportional to 121,335,374 and 259,676,851 is: 555,749,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,335,374 : 259,676,851 = 259,676,851 : x
  2. Step 2: Convert to fraction form
    121,335,374/259,676,851 = 259,676,851/x
  3. Step 3: Cross multiply
    121,335,374x = 259,676,851 × 259,676,851
  4. Step 4: Simplify right side
    121,335,374x = 67,432,066,945,276,200
  5. Step 5: Solve for x
    x = 67,432,066,945,276,200/121,335,374
  6. Step 6: Final answer
    x = 555,749,446.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.