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Finding the Third Proportional to 32,448 and 70,910

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Solution

The third proportional to 32,448 and 70,910 is: 154,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 70,910 = 70,910 : x
  2. Step 2: Convert to fraction form
    32,448/70,910 = 70,910/x
  3. Step 3: Cross multiply
    32,448x = 70,910 × 70,910
  4. Step 4: Simplify right side
    32,448x = 5,028,228,100
  5. Step 5: Solve for x
    x = 5,028,228,100/32,448
  6. Step 6: Final answer
    x = 154,962.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.