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Finding the Third Proportional to 515,821.50 and 1,120,257

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Solution

The third proportional to 515,821.50 and 1,120,257 is: 2,432,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,821.50 : 1,120,257 = 1,120,257 : x
  2. Step 2: Convert to fraction form
    515,821.50/1,120,257 = 1,120,257/x
  3. Step 3: Cross multiply
    515,821.50x = 1,120,257 × 1,120,257
  4. Step 4: Simplify right side
    515,821.50x = 1,254,975,746,049
  5. Step 5: Solve for x
    x = 1,254,975,746,049/515,821.50
  6. Step 6: Final answer
    x = 2,432,965.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.