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Finding the Third Proportional to 815,682,388 and 1,246,930,489

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Solution

The third proportional to 815,682,388 and 1,246,930,489 is: 1,906,177,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,682,388 : 1,246,930,489 = 1,246,930,489 : x
  2. Step 2: Convert to fraction form
    815,682,388/1,246,930,489 = 1,246,930,489/x
  3. Step 3: Cross multiply
    815,682,388x = 1,246,930,489 × 1,246,930,489
  4. Step 4: Simplify right side
    815,682,388x = 1,554,835,644,397,779,200
  5. Step 5: Solve for x
    x = 1,554,835,644,397,779,200/815,682,388
  6. Step 6: Final answer
    x = 1,906,177,781.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.