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Finding the Third Proportional to 513,251,604 and 1,053,712,188

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Solution

The third proportional to 513,251,604 and 1,053,712,188 is: 2,163,284,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,604 : 1,053,712,188 = 1,053,712,188 : x
  2. Step 2: Convert to fraction form
    513,251,604/1,053,712,188 = 1,053,712,188/x
  3. Step 3: Cross multiply
    513,251,604x = 1,053,712,188 × 1,053,712,188
  4. Step 4: Simplify right side
    513,251,604x = 1,110,309,375,139,747,328
  5. Step 5: Solve for x
    x = 1,110,309,375,139,747,328/513,251,604
  6. Step 6: Final answer
    x = 2,163,284,764.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.