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Finding the Third Proportional to 678,302,856 and 1,469,291,697

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Solution

The third proportional to 678,302,856 and 1,469,291,697 is: 3,182,675,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,302,856 : 1,469,291,697 = 1,469,291,697 : x
  2. Step 2: Convert to fraction form
    678,302,856/1,469,291,697 = 1,469,291,697/x
  3. Step 3: Cross multiply
    678,302,856x = 1,469,291,697 × 1,469,291,697
  4. Step 4: Simplify right side
    678,302,856x = 2,158,818,090,873,139,712
  5. Step 5: Solve for x
    x = 2,158,818,090,873,139,712/678,302,856
  6. Step 6: Final answer
    x = 3,182,675,808.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.