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Finding the Third Proportional to 129,274,892 and 205,801,365

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Solution

The third proportional to 129,274,892 and 205,801,365 is: 327,628,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,274,892 : 205,801,365 = 205,801,365 : x
  2. Step 2: Convert to fraction form
    129,274,892/205,801,365 = 205,801,365/x
  3. Step 3: Cross multiply
    129,274,892x = 205,801,365 × 205,801,365
  4. Step 4: Simplify right side
    129,274,892x = 42,354,201,835,863,224
  5. Step 5: Solve for x
    x = 42,354,201,835,863,224/129,274,892
  6. Step 6: Final answer
    x = 327,628,986.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.