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Finding the Third Proportional to 288,766.78 and 448,900.78

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Solution

The third proportional to 288,766.78 and 448,900.78 is: 697,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766.78 : 448,900.78 = 448,900.78 : x
  2. Step 2: Convert to fraction form
    288,766.78/448,900.78 = 448,900.78/x
  3. Step 3: Cross multiply
    288,766.78x = 448,900.78 × 448,900.78
  4. Step 4: Simplify right side
    288,766.78x = 201,511,911,406.86
  5. Step 5: Solve for x
    x = 201,511,911,406.86/288,766.78
  6. Step 6: Final answer
    x = 697,836.19

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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.