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Finding the Third Proportional to 815,682,386 and 1,246,930,486

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Solution

The third proportional to 815,682,386 and 1,246,930,486 is: 1,906,177,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,682,386 : 1,246,930,486 = 1,246,930,486 : x
  2. Step 2: Convert to fraction form
    815,682,386/1,246,930,486 = 1,246,930,486/x
  3. Step 3: Cross multiply
    815,682,386x = 1,246,930,486 × 1,246,930,486
  4. Step 4: Simplify right side
    815,682,386x = 1,554,835,636,916,196,096
  5. Step 5: Solve for x
    x = 1,554,835,636,916,196,096/815,682,386
  6. Step 6: Final answer
    x = 1,906,177,776.55

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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.