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Finding the Third Proportional to 315 and 680.50

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Solution

The third proportional to 315 and 680.50 is: 1,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 680.50 = 680.50 : x
  2. Step 2: Convert to fraction form
    315/680.50 = 680.50/x
  3. Step 3: Cross multiply
    315x = 680.50 × 680.50
  4. Step 4: Simplify right side
    315x = 463,080.25
  5. Step 5: Solve for x
    x = 463,080.25/315
  6. Step 6: Final answer
    x = 1,470.10

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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.