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Finding the Third Proportional to 153.49 and 315.07

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Solution

The third proportional to 153.49 and 315.07 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.49 : 315.07 = 315.07 : x
  2. Step 2: Convert to fraction form
    153.49/315.07 = 315.07/x
  3. Step 3: Cross multiply
    153.49x = 315.07 × 315.07
  4. Step 4: Simplify right side
    153.49x = 99,269.30
  5. Step 5: Solve for x
    x = 99,269.30/153.49
  6. Step 6: Final answer
    x = 646.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.