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Finding the Third Proportional to 121,515 and 163,582.50

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Solution

The third proportional to 121,515 and 163,582.50 is: 220,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,515 : 163,582.50 = 163,582.50 : x
  2. Step 2: Convert to fraction form
    121,515/163,582.50 = 163,582.50/x
  3. Step 3: Cross multiply
    121,515x = 163,582.50 × 163,582.50
  4. Step 4: Simplify right side
    121,515x = 26,759,234,306.25
  5. Step 5: Solve for x
    x = 26,759,234,306.25/121,515
  6. Step 6: Final answer
    x = 220,213.42

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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.