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Finding the Third Proportional to 288,157 and 462,990

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Solution

The third proportional to 288,157 and 462,990 is: 743,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157 : 462,990 = 462,990 : x
  2. Step 2: Convert to fraction form
    288,157/462,990 = 462,990/x
  3. Step 3: Cross multiply
    288,157x = 462,990 × 462,990
  4. Step 4: Simplify right side
    288,157x = 214,359,740,100
  5. Step 5: Solve for x
    x = 214,359,740,100/288,157
  6. Step 6: Final answer
    x = 743,899.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.