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Finding the Third Proportional to 353,699 and 767,211

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Solution

The third proportional to 353,699 and 767,211 is: 1,664,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,699 : 767,211 = 767,211 : x
  2. Step 2: Convert to fraction form
    353,699/767,211 = 767,211/x
  3. Step 3: Cross multiply
    353,699x = 767,211 × 767,211
  4. Step 4: Simplify right side
    353,699x = 588,612,718,521
  5. Step 5: Solve for x
    x = 588,612,718,521/353,699
  6. Step 6: Final answer
    x = 1,664,162.80

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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.