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Finding the Third Proportional to 513,515 and 1,108,222

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Solution

The third proportional to 513,515 and 1,108,222 is: 2,391,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,515 : 1,108,222 = 1,108,222 : x
  2. Step 2: Convert to fraction form
    513,515/1,108,222 = 1,108,222/x
  3. Step 3: Cross multiply
    513,515x = 1,108,222 × 1,108,222
  4. Step 4: Simplify right side
    513,515x = 1,228,156,001,284
  5. Step 5: Solve for x
    x = 1,228,156,001,284/513,515
  6. Step 6: Final answer
    x = 2,391,665.29

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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.