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Finding the Third Proportional to 426,498 and 918,606

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Solution

The third proportional to 426,498 and 918,606 is: 1,978,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,498 : 918,606 = 918,606 : x
  2. Step 2: Convert to fraction form
    426,498/918,606 = 918,606/x
  3. Step 3: Cross multiply
    426,498x = 918,606 × 918,606
  4. Step 4: Simplify right side
    426,498x = 843,836,983,236
  5. Step 5: Solve for x
    x = 843,836,983,236/426,498
  6. Step 6: Final answer
    x = 1,978,525.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.