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Finding the Third Proportional to 202.95 and 322.65

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Solution

The third proportional to 202.95 and 322.65 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 322.65 = 322.65 : x
  2. Step 2: Convert to fraction form
    202.95/322.65 = 322.65/x
  3. Step 3: Cross multiply
    202.95x = 322.65 × 322.65
  4. Step 4: Simplify right side
    202.95x = 104,100.04
  5. Step 5: Solve for x
    x = 104,100.04/202.95
  6. Step 6: Final answer
    x = 512.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.