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Finding the Third Proportional to 32,200 and 78,312

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Solution

The third proportional to 32,200 and 78,312 is: 190,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200 : 78,312 = 78,312 : x
  2. Step 2: Convert to fraction form
    32,200/78,312 = 78,312/x
  3. Step 3: Cross multiply
    32,200x = 78,312 × 78,312
  4. Step 4: Simplify right side
    32,200x = 6,132,769,344
  5. Step 5: Solve for x
    x = 6,132,769,344/32,200
  6. Step 6: Final answer
    x = 190,458.68

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.