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Finding the Third Proportional to 100,973 and 156,782

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Solution

The third proportional to 100,973 and 156,782 is: 243,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,973 : 156,782 = 156,782 : x
  2. Step 2: Convert to fraction form
    100,973/156,782 = 156,782/x
  3. Step 3: Cross multiply
    100,973x = 156,782 × 156,782
  4. Step 4: Simplify right side
    100,973x = 24,580,595,524
  5. Step 5: Solve for x
    x = 24,580,595,524/100,973
  6. Step 6: Final answer
    x = 243,437.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.