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Finding the Third Proportional to 130,787,560 and 280,352,974

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Solution

The third proportional to 130,787,560 and 280,352,974 is: 600,957,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,787,560 : 280,352,974 = 280,352,974 : x
  2. Step 2: Convert to fraction form
    130,787,560/280,352,974 = 280,352,974/x
  3. Step 3: Cross multiply
    130,787,560x = 280,352,974 × 280,352,974
  4. Step 4: Simplify right side
    130,787,560x = 78,597,790,030,644,672
  5. Step 5: Solve for x
    x = 78,597,790,030,644,672/130,787,560
  6. Step 6: Final answer
    x = 600,957,690.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.