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Finding the Third Proportional to 156,107 and 223,072

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Solution

The third proportional to 156,107 and 223,072 is: 318,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,107 : 223,072 = 223,072 : x
  2. Step 2: Convert to fraction form
    156,107/223,072 = 223,072/x
  3. Step 3: Cross multiply
    156,107x = 223,072 × 223,072
  4. Step 4: Simplify right side
    156,107x = 49,761,117,184
  5. Step 5: Solve for x
    x = 49,761,117,184/156,107
  6. Step 6: Final answer
    x = 318,762.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.