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Finding the Third Proportional to 120,620.11 and 177,421.36

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Solution

The third proportional to 120,620.11 and 177,421.36 is: 260,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620.11 : 177,421.36 = 177,421.36 : x
  2. Step 2: Convert to fraction form
    120,620.11/177,421.36 = 177,421.36/x
  3. Step 3: Cross multiply
    120,620.11x = 177,421.36 × 177,421.36
  4. Step 4: Simplify right side
    120,620.11x = 31,478,338,762.47
  5. Step 5: Solve for x
    x = 31,478,338,762.47/120,620.11
  6. Step 6: Final answer
    x = 260,970.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.