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Finding the Third Proportional to 387,372.59 and 836,989.24

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Solution

The third proportional to 387,372.59 and 836,989.24 is: 1,808,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,372.59 : 836,989.24 = 836,989.24 : x
  2. Step 2: Convert to fraction form
    387,372.59/836,989.24 = 836,989.24/x
  3. Step 3: Cross multiply
    387,372.59x = 836,989.24 × 836,989.24
  4. Step 4: Simplify right side
    387,372.59x = 700,550,991,537.61
  5. Step 5: Solve for x
    x = 700,550,991,537.61/387,372.59
  6. Step 6: Final answer
    x = 1,808,468.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.