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Finding the Third Proportional to 312,488,294 and 660,405,916

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Solution

The third proportional to 312,488,294 and 660,405,916 is: 1,395,687,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,488,294 : 660,405,916 = 660,405,916 : x
  2. Step 2: Convert to fraction form
    312,488,294/660,405,916 = 660,405,916/x
  3. Step 3: Cross multiply
    312,488,294x = 660,405,916 × 660,405,916
  4. Step 4: Simplify right side
    312,488,294x = 436,135,973,887,799,040
  5. Step 5: Solve for x
    x = 436,135,973,887,799,040/312,488,294
  6. Step 6: Final answer
    x = 1,395,687,397.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.