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Finding the Third Proportional to 643,620 and 1,388,406

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Solution

The third proportional to 643,620 and 1,388,406 is: 2,995,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,620 : 1,388,406 = 1,388,406 : x
  2. Step 2: Convert to fraction form
    643,620/1,388,406 = 1,388,406/x
  3. Step 3: Cross multiply
    643,620x = 1,388,406 × 1,388,406
  4. Step 4: Simplify right side
    643,620x = 1,927,671,220,836
  5. Step 5: Solve for x
    x = 1,927,671,220,836/643,620
  6. Step 6: Final answer
    x = 2,995,045.56

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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.