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Finding the Third Proportional to 32,310 and 70,621

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Solution

The third proportional to 32,310 and 70,621 is: 154,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310 : 70,621 = 70,621 : x
  2. Step 2: Convert to fraction form
    32,310/70,621 = 70,621/x
  3. Step 3: Cross multiply
    32,310x = 70,621 × 70,621
  4. Step 4: Simplify right side
    32,310x = 4,987,325,641
  5. Step 5: Solve for x
    x = 4,987,325,641/32,310
  6. Step 6: Final answer
    x = 154,358.58

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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.