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Finding the Third Proportional to 353,206 and 772,015

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Solution

The third proportional to 353,206 and 772,015 is: 1,687,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,206 : 772,015 = 772,015 : x
  2. Step 2: Convert to fraction form
    353,206/772,015 = 772,015/x
  3. Step 3: Cross multiply
    353,206x = 772,015 × 772,015
  4. Step 4: Simplify right side
    353,206x = 596,007,160,225
  5. Step 5: Solve for x
    x = 596,007,160,225/353,206
  6. Step 6: Final answer
    x = 1,687,420.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.