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Finding the Third Proportional to 88.13 and 210.19

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Solution

The third proportional to 88.13 and 210.19 is: 501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.13 : 210.19 = 210.19 : x
  2. Step 2: Convert to fraction form
    88.13/210.19 = 210.19/x
  3. Step 3: Cross multiply
    88.13x = 210.19 × 210.19
  4. Step 4: Simplify right side
    88.13x = 44,178.79
  5. Step 5: Solve for x
    x = 44,178.79/88.13
  6. Step 6: Final answer
    x = 501.32

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.