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Finding the Third Proportional to 509,787,404 and 787,200,908

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Solution

The third proportional to 509,787,404 and 787,200,908 is: 1,215,575,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,404 : 787,200,908 = 787,200,908 : x
  2. Step 2: Convert to fraction form
    509,787,404/787,200,908 = 787,200,908/x
  3. Step 3: Cross multiply
    509,787,404x = 787,200,908 × 787,200,908
  4. Step 4: Simplify right side
    509,787,404x = 619,685,269,556,024,448
  5. Step 5: Solve for x
    x = 619,685,269,556,024,448/509,787,404
  6. Step 6: Final answer
    x = 1,215,575,874.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.