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Finding the Third Proportional to 356,448 and 766,464

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Solution

The third proportional to 356,448 and 766,464 is: 1,648,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,448 : 766,464 = 766,464 : x
  2. Step 2: Convert to fraction form
    356,448/766,464 = 766,464/x
  3. Step 3: Cross multiply
    356,448x = 766,464 × 766,464
  4. Step 4: Simplify right side
    356,448x = 587,467,063,296
  5. Step 5: Solve for x
    x = 587,467,063,296/356,448
  6. Step 6: Final answer
    x = 1,648,114.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.