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Finding the Third Proportional to 513,251,600 and 1,053,712,180

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Solution

The third proportional to 513,251,600 and 1,053,712,180 is: 2,163,284,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,600 : 1,053,712,180 = 1,053,712,180 : x
  2. Step 2: Convert to fraction form
    513,251,600/1,053,712,180 = 1,053,712,180/x
  3. Step 3: Cross multiply
    513,251,600x = 1,053,712,180 × 1,053,712,180
  4. Step 4: Simplify right side
    513,251,600x = 1,110,309,358,280,352,384
  5. Step 5: Solve for x
    x = 1,110,309,358,280,352,384/513,251,600
  6. Step 6: Final answer
    x = 2,163,284,748.22

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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.