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Finding the Third Proportional to 515.16 and 798.28

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Solution

The third proportional to 515.16 and 798.28 is: 1,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 798.28 = 798.28 : x
  2. Step 2: Convert to fraction form
    515.16/798.28 = 798.28/x
  3. Step 3: Cross multiply
    515.16x = 798.28 × 798.28
  4. Step 4: Simplify right side
    515.16x = 637,252.95
  5. Step 5: Solve for x
    x = 637,252.95/515.16
  6. Step 6: Final answer
    x = 1,237.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.