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Finding the Third Proportional to 515,820 and 1,120,255

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Solution

The third proportional to 515,820 and 1,120,255 is: 2,432,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,820 : 1,120,255 = 1,120,255 : x
  2. Step 2: Convert to fraction form
    515,820/1,120,255 = 1,120,255/x
  3. Step 3: Cross multiply
    515,820x = 1,120,255 × 1,120,255
  4. Step 4: Simplify right side
    515,820x = 1,254,971,265,025
  5. Step 5: Solve for x
    x = 1,254,971,265,025/515,820
  6. Step 6: Final answer
    x = 2,432,963.56

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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.