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Finding the Third Proportional to 643,239 and 1,371,906

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Solution

The third proportional to 643,239 and 1,371,906 is: 2,926,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,239 : 1,371,906 = 1,371,906 : x
  2. Step 2: Convert to fraction form
    643,239/1,371,906 = 1,371,906/x
  3. Step 3: Cross multiply
    643,239x = 1,371,906 × 1,371,906
  4. Step 4: Simplify right side
    643,239x = 1,882,126,072,836
  5. Step 5: Solve for x
    x = 1,882,126,072,836/643,239
  6. Step 6: Final answer
    x = 2,926,013.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.