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Finding the Third Proportional to 521,289,778 and 764,892,860

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Solution

The third proportional to 521,289,778 and 764,892,860 is: 1,122,333,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,289,778 : 764,892,860 = 764,892,860 : x
  2. Step 2: Convert to fraction form
    521,289,778/764,892,860 = 764,892,860/x
  3. Step 3: Cross multiply
    521,289,778x = 764,892,860 × 764,892,860
  4. Step 4: Simplify right side
    521,289,778x = 585,061,087,278,979,584
  5. Step 5: Solve for x
    x = 585,061,087,278,979,584/521,289,778
  6. Step 6: Final answer
    x = 1,122,333,703.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.