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Finding the Third Proportional to 387,314.58 and 838,947.80

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Solution

The third proportional to 387,314.58 and 838,947.80 is: 1,817,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,314.58 : 838,947.80 = 838,947.80 : x
  2. Step 2: Convert to fraction form
    387,314.58/838,947.80 = 838,947.80/x
  3. Step 3: Cross multiply
    387,314.58x = 838,947.80 × 838,947.80
  4. Step 4: Simplify right side
    387,314.58x = 703,833,405,881.42
  5. Step 5: Solve for x
    x = 703,833,405,881.42/387,314.58
  6. Step 6: Final answer
    x = 1,817,213.82

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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.