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Finding the Third Proportional to 515.02 and 1,127.58

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Solution

The third proportional to 515.02 and 1,127.58 is: 2,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.02 : 1,127.58 = 1,127.58 : x
  2. Step 2: Convert to fraction form
    515.02/1,127.58 = 1,127.58/x
  3. Step 3: Cross multiply
    515.02x = 1,127.58 × 1,127.58
  4. Step 4: Simplify right side
    515.02x = 1,271,432.43
  5. Step 5: Solve for x
    x = 1,271,432.43/515.02
  6. Step 6: Final answer
    x = 2,468.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.