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Finding the Third Proportional to 243,043.03 and 378,325.69

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Solution

The third proportional to 243,043.03 and 378,325.69 is: 588,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,043.03 : 378,325.69 = 378,325.69 : x
  2. Step 2: Convert to fraction form
    243,043.03/378,325.69 = 378,325.69/x
  3. Step 3: Cross multiply
    243,043.03x = 378,325.69 × 378,325.69
  4. Step 4: Simplify right side
    243,043.03x = 143,130,325,822.35
  5. Step 5: Solve for x
    x = 143,130,325,822.35/243,043.03
  6. Step 6: Final answer
    x = 588,909.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.