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Finding the Third Proportional to 367,434 and 787,356

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Solution

The third proportional to 367,434 and 787,356 is: 1,687,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,434 : 787,356 = 787,356 : x
  2. Step 2: Convert to fraction form
    367,434/787,356 = 787,356/x
  3. Step 3: Cross multiply
    367,434x = 787,356 × 787,356
  4. Step 4: Simplify right side
    367,434x = 619,929,470,736
  5. Step 5: Solve for x
    x = 619,929,470,736/367,434
  6. Step 6: Final answer
    x = 1,687,185.92

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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.