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Finding the Third Proportional to 387,352.97 and 843,298.59

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Solution

The third proportional to 387,352.97 and 843,298.59 is: 1,835,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,352.97 : 843,298.59 = 843,298.59 : x
  2. Step 2: Convert to fraction form
    387,352.97/843,298.59 = 843,298.59/x
  3. Step 3: Cross multiply
    387,352.97x = 843,298.59 × 843,298.59
  4. Step 4: Simplify right side
    387,352.97x = 711,152,518,220.73
  5. Step 5: Solve for x
    x = 711,152,518,220.73/387,352.97
  6. Step 6: Final answer
    x = 1,835,928.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.