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Finding the Third Proportional to 387,329 and 838,974

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Solution

The third proportional to 387,329 and 838,974 is: 1,817,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,329 : 838,974 = 838,974 : x
  2. Step 2: Convert to fraction form
    387,329/838,974 = 838,974/x
  3. Step 3: Cross multiply
    387,329x = 838,974 × 838,974
  4. Step 4: Simplify right side
    387,329x = 703,877,372,676
  5. Step 5: Solve for x
    x = 703,877,372,676/387,329
  6. Step 6: Final answer
    x = 1,817,259.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.