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Finding the Third Proportional to 554,112 and 842,340

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Solution

The third proportional to 554,112 and 842,340 is: 1,280,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,112 : 842,340 = 842,340 : x
  2. Step 2: Convert to fraction form
    554,112/842,340 = 842,340/x
  3. Step 3: Cross multiply
    554,112x = 842,340 × 842,340
  4. Step 4: Simplify right side
    554,112x = 709,536,675,600
  5. Step 5: Solve for x
    x = 709,536,675,600/554,112
  6. Step 6: Final answer
    x = 1,280,493.25

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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.