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Finding the Third Proportional to 521,294,618 and 764,900,679

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Solution

The third proportional to 521,294,618 and 764,900,679 is: 1,122,346,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,294,618 : 764,900,679 = 764,900,679 : x
  2. Step 2: Convert to fraction form
    521,294,618/764,900,679 = 764,900,679/x
  3. Step 3: Cross multiply
    521,294,618x = 764,900,679 × 764,900,679
  4. Step 4: Simplify right side
    521,294,618x = 585,073,048,734,660,992
  5. Step 5: Solve for x
    x = 585,073,048,734,660,992/521,294,618
  6. Step 6: Final answer
    x = 1,122,346,229.05

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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.