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Finding the Third Proportional to 278,700.75 and 419,866.03

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Solution

The third proportional to 278,700.75 and 419,866.03 is: 632,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,700.75 : 419,866.03 = 419,866.03 : x
  2. Step 2: Convert to fraction form
    278,700.75/419,866.03 = 419,866.03/x
  3. Step 3: Cross multiply
    278,700.75x = 419,866.03 × 419,866.03
  4. Step 4: Simplify right side
    278,700.75x = 176,287,484,197.63
  5. Step 5: Solve for x
    x = 176,287,484,197.63/278,700.75
  6. Step 6: Final answer
    x = 632,533.22

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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.