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Finding the Third Proportional to 351,458 and 766,540

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Solution

The third proportional to 351,458 and 766,540 is: 1,671,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,458 : 766,540 = 766,540 : x
  2. Step 2: Convert to fraction form
    351,458/766,540 = 766,540/x
  3. Step 3: Cross multiply
    351,458x = 766,540 × 766,540
  4. Step 4: Simplify right side
    351,458x = 587,583,571,600
  5. Step 5: Solve for x
    x = 587,583,571,600/351,458
  6. Step 6: Final answer
    x = 1,671,845.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.