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Finding the Third Proportional to 33,160,860 and 78,168,290

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Solution

The third proportional to 33,160,860 and 78,168,290 is: 184,261,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160,860 : 78,168,290 = 78,168,290 : x
  2. Step 2: Convert to fraction form
    33,160,860/78,168,290 = 78,168,290/x
  3. Step 3: Cross multiply
    33,160,860x = 78,168,290 × 78,168,290
  4. Step 4: Simplify right side
    33,160,860x = 6,110,281,561,524,100
  5. Step 5: Solve for x
    x = 6,110,281,561,524,100/33,160,860
  6. Step 6: Final answer
    x = 184,261,854.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.