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Finding the Third Proportional to 120,729 and 191,122.50

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Solution

The third proportional to 120,729 and 191,122.50 is: 302,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,729 : 191,122.50 = 191,122.50 : x
  2. Step 2: Convert to fraction form
    120,729/191,122.50 = 191,122.50/x
  3. Step 3: Cross multiply
    120,729x = 191,122.50 × 191,122.50
  4. Step 4: Simplify right side
    120,729x = 36,527,810,006.25
  5. Step 5: Solve for x
    x = 36,527,810,006.25/120,729
  6. Step 6: Final answer
    x = 302,560.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.