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Finding the Third Proportional to 179,385,620 and 280,787,489.75

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Solution

The third proportional to 179,385,620 and 280,787,489.75 is: 439,509,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,385,620 : 280,787,489.75 = 280,787,489.75 : x
  2. Step 2: Convert to fraction form
    179,385,620/280,787,489.75 = 280,787,489.75/x
  3. Step 3: Cross multiply
    179,385,620x = 280,787,489.75 × 280,787,489.75
  4. Step 4: Simplify right side
    179,385,620x = 78,841,614,400,106,352
  5. Step 5: Solve for x
    x = 78,841,614,400,106,352/179,385,620
  6. Step 6: Final answer
    x = 439,509,111.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.