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Finding the Third Proportional to 140,154.50 and 220,276

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Solution

The third proportional to 140,154.50 and 220,276 is: 346,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,154.50 : 220,276 = 220,276 : x
  2. Step 2: Convert to fraction form
    140,154.50/220,276 = 220,276/x
  3. Step 3: Cross multiply
    140,154.50x = 220,276 × 220,276
  4. Step 4: Simplify right side
    140,154.50x = 48,521,516,176
  5. Step 5: Solve for x
    x = 48,521,516,176/140,154.50
  6. Step 6: Final answer
    x = 346,200.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.