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Finding the Third Proportional to 378,364 and 791,772

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Solution

The third proportional to 378,364 and 791,772 is: 1,656,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,364 : 791,772 = 791,772 : x
  2. Step 2: Convert to fraction form
    378,364/791,772 = 791,772/x
  3. Step 3: Cross multiply
    378,364x = 791,772 × 791,772
  4. Step 4: Simplify right side
    378,364x = 626,902,899,984
  5. Step 5: Solve for x
    x = 626,902,899,984/378,364
  6. Step 6: Final answer
    x = 1,656,877.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.