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Finding the Third Proportional to 121,528 and 163,600

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Solution

The third proportional to 121,528 and 163,600 is: 220,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,528 : 163,600 = 163,600 : x
  2. Step 2: Convert to fraction form
    121,528/163,600 = 163,600/x
  3. Step 3: Cross multiply
    121,528x = 163,600 × 163,600
  4. Step 4: Simplify right side
    121,528x = 26,764,960,000
  5. Step 5: Solve for x
    x = 26,764,960,000/121,528
  6. Step 6: Final answer
    x = 220,236.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.