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Finding the Third Proportional to 153,112 and 223,620

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Solution

The third proportional to 153,112 and 223,620 is: 326,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112 : 223,620 = 223,620 : x
  2. Step 2: Convert to fraction form
    153,112/223,620 = 223,620/x
  3. Step 3: Cross multiply
    153,112x = 223,620 × 223,620
  4. Step 4: Simplify right side
    153,112x = 50,005,904,400
  5. Step 5: Solve for x
    x = 50,005,904,400/153,112
  6. Step 6: Final answer
    x = 326,596.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.