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Finding the Third Proportional to 643,611 and 1,388,394

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Solution

The third proportional to 643,611 and 1,388,394 is: 2,995,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,611 : 1,388,394 = 1,388,394 : x
  2. Step 2: Convert to fraction form
    643,611/1,388,394 = 1,388,394/x
  3. Step 3: Cross multiply
    643,611x = 1,388,394 × 1,388,394
  4. Step 4: Simplify right side
    643,611x = 1,927,637,899,236
  5. Step 5: Solve for x
    x = 1,927,637,899,236/643,611
  6. Step 6: Final answer
    x = 2,995,035.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.