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Finding the Third Proportional to 387,226.83 and 838,808.79

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Solution

The third proportional to 387,226.83 and 838,808.79 is: 1,817,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,226.83 : 838,808.79 = 838,808.79 : x
  2. Step 2: Convert to fraction form
    387,226.83/838,808.79 = 838,808.79/x
  3. Step 3: Cross multiply
    387,226.83x = 838,808.79 × 838,808.79
  4. Step 4: Simplify right side
    387,226.83x = 703,600,184,608.50
  5. Step 5: Solve for x
    x = 703,600,184,608.50/387,226.83
  6. Step 6: Final answer
    x = 1,817,023.34

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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.