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Finding the Third Proportional to 280,801.69 and 605,890.13

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Solution

The third proportional to 280,801.69 and 605,890.13 is: 1,307,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,801.69 : 605,890.13 = 605,890.13 : x
  2. Step 2: Convert to fraction form
    280,801.69/605,890.13 = 605,890.13/x
  3. Step 3: Cross multiply
    280,801.69x = 605,890.13 × 605,890.13
  4. Step 4: Simplify right side
    280,801.69x = 367,102,843,572.52
  5. Step 5: Solve for x
    x = 367,102,843,572.52/280,801.69
  6. Step 6: Final answer
    x = 1,307,338.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.