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Finding the Third Proportional to 353,153 and 766,508

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Solution

The third proportional to 353,153 and 766,508 is: 1,663,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,153 : 766,508 = 766,508 : x
  2. Step 2: Convert to fraction form
    353,153/766,508 = 766,508/x
  3. Step 3: Cross multiply
    353,153x = 766,508 × 766,508
  4. Step 4: Simplify right side
    353,153x = 587,534,514,064
  5. Step 5: Solve for x
    x = 587,534,514,064/353,153
  6. Step 6: Final answer
    x = 1,663,682.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.