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Finding the Third Proportional to 243,680 and 378,768

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Solution

The third proportional to 243,680 and 378,768 is: 588,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,680 : 378,768 = 378,768 : x
  2. Step 2: Convert to fraction form
    243,680/378,768 = 378,768/x
  3. Step 3: Cross multiply
    243,680x = 378,768 × 378,768
  4. Step 4: Simplify right side
    243,680x = 143,465,197,824
  5. Step 5: Solve for x
    x = 143,465,197,824/243,680
  6. Step 6: Final answer
    x = 588,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.