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Finding the Third Proportional to 612,079 and 918,120

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Solution

The third proportional to 612,079 and 918,120 is: 1,377,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,079 : 918,120 = 918,120 : x
  2. Step 2: Convert to fraction form
    612,079/918,120 = 918,120/x
  3. Step 3: Cross multiply
    612,079x = 918,120 × 918,120
  4. Step 4: Simplify right side
    612,079x = 842,944,334,400
  5. Step 5: Solve for x
    x = 842,944,334,400/612,079
  6. Step 6: Final answer
    x = 1,377,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.