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Finding the Third Proportional to 426,496 and 918,602

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Solution

The third proportional to 426,496 and 918,602 is: 1,978,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,496 : 918,602 = 918,602 : x
  2. Step 2: Convert to fraction form
    426,496/918,602 = 918,602/x
  3. Step 3: Cross multiply
    426,496x = 918,602 × 918,602
  4. Step 4: Simplify right side
    426,496x = 843,829,634,404
  5. Step 5: Solve for x
    x = 843,829,634,404/426,496
  6. Step 6: Final answer
    x = 1,978,517.11

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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.