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Finding the Third Proportional to 370,400 and 787,328

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Solution

The third proportional to 370,400 and 787,328 is: 1,673,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,400 : 787,328 = 787,328 : x
  2. Step 2: Convert to fraction form
    370,400/787,328 = 787,328/x
  3. Step 3: Cross multiply
    370,400x = 787,328 × 787,328
  4. Step 4: Simplify right side
    370,400x = 619,885,379,584
  5. Step 5: Solve for x
    x = 619,885,379,584/370,400
  6. Step 6: Final answer
    x = 1,673,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.