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Finding the Third Proportional to 426,606 and 915,420

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Solution

The third proportional to 426,606 and 915,420 is: 1,964,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,606 : 915,420 = 915,420 : x
  2. Step 2: Convert to fraction form
    426,606/915,420 = 915,420/x
  3. Step 3: Cross multiply
    426,606x = 915,420 × 915,420
  4. Step 4: Simplify right side
    426,606x = 837,993,776,400
  5. Step 5: Solve for x
    x = 837,993,776,400/426,606
  6. Step 6: Final answer
    x = 1,964,327.22

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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.