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Finding the Third Proportional to 280,437.75 and 393,501.38

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Solution

The third proportional to 280,437.75 and 393,501.38 is: 552,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,437.75 : 393,501.38 = 393,501.38 : x
  2. Step 2: Convert to fraction form
    280,437.75/393,501.38 = 393,501.38/x
  3. Step 3: Cross multiply
    280,437.75x = 393,501.38 × 393,501.38
  4. Step 4: Simplify right side
    280,437.75x = 154,843,332,126.89
  5. Step 5: Solve for x
    x = 154,843,332,126.89/280,437.75
  6. Step 6: Final answer
    x = 552,148.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.