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Finding the Third Proportional to 513,508 and 1,108,213

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Solution

The third proportional to 513,508 and 1,108,213 is: 2,391,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,508 : 1,108,213 = 1,108,213 : x
  2. Step 2: Convert to fraction form
    513,508/1,108,213 = 1,108,213/x
  3. Step 3: Cross multiply
    513,508x = 1,108,213 × 1,108,213
  4. Step 4: Simplify right side
    513,508x = 1,228,136,053,369
  5. Step 5: Solve for x
    x = 1,228,136,053,369/513,508
  6. Step 6: Final answer
    x = 2,391,659.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.