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Finding the Third Proportional to 554,109.75 and 842,337

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Solution

The third proportional to 554,109.75 and 842,337 is: 1,280,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,109.75 : 842,337 = 842,337 : x
  2. Step 2: Convert to fraction form
    554,109.75/842,337 = 842,337/x
  3. Step 3: Cross multiply
    554,109.75x = 842,337 × 842,337
  4. Step 4: Simplify right side
    554,109.75x = 709,531,621,569
  5. Step 5: Solve for x
    x = 709,531,621,569/554,109.75
  6. Step 6: Final answer
    x = 1,280,489.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.