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Finding the Third Proportional to 769,221 and 1,683,243

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Solution

The third proportional to 769,221 and 1,683,243 is: 3,683,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,221 : 1,683,243 = 1,683,243 : x
  2. Step 2: Convert to fraction form
    769,221/1,683,243 = 1,683,243/x
  3. Step 3: Cross multiply
    769,221x = 1,683,243 × 1,683,243
  4. Step 4: Simplify right side
    769,221x = 2,833,306,997,049
  5. Step 5: Solve for x
    x = 2,833,306,997,049/769,221
  6. Step 6: Final answer
    x = 3,683,345.87

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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.