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Finding the Third Proportional to 121,798,774 and 165,897,392

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Solution

The third proportional to 121,798,774 and 165,897,392 is: 225,962,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798,774 : 165,897,392 = 165,897,392 : x
  2. Step 2: Convert to fraction form
    121,798,774/165,897,392 = 165,897,392/x
  3. Step 3: Cross multiply
    121,798,774x = 165,897,392 × 165,897,392
  4. Step 4: Simplify right side
    121,798,774x = 27,521,944,672,401,664
  5. Step 5: Solve for x
    x = 27,521,944,672,401,664/121,798,774
  6. Step 6: Final answer
    x = 225,962,411.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.