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Finding the Third Proportional to 32.20 and 70.10

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Solution

The third proportional to 32.20 and 70.10 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.20 : 70.10 = 70.10 : x
  2. Step 2: Convert to fraction form
    32.20/70.10 = 70.10/x
  3. Step 3: Cross multiply
    32.20x = 70.10 × 70.10
  4. Step 4: Simplify right side
    32.20x = 4,914.23
  5. Step 5: Solve for x
    x = 4,914.23/32.20
  6. Step 6: Final answer
    x = 152.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.