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Finding the Third Proportional to 278,784 and 420,768

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Solution

The third proportional to 278,784 and 420,768 is: 635,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,784 : 420,768 = 420,768 : x
  2. Step 2: Convert to fraction form
    278,784/420,768 = 420,768/x
  3. Step 3: Cross multiply
    278,784x = 420,768 × 420,768
  4. Step 4: Simplify right side
    278,784x = 177,045,709,824
  5. Step 5: Solve for x
    x = 177,045,709,824/278,784
  6. Step 6: Final answer
    x = 635,064.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.