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Finding the Third Proportional to 427,298 and 618,915

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Solution

The third proportional to 427,298 and 618,915 is: 896,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,298 : 618,915 = 618,915 : x
  2. Step 2: Convert to fraction form
    427,298/618,915 = 618,915/x
  3. Step 3: Cross multiply
    427,298x = 618,915 × 618,915
  4. Step 4: Simplify right side
    427,298x = 383,055,777,225
  5. Step 5: Solve for x
    x = 383,055,777,225/427,298
  6. Step 6: Final answer
    x = 896,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.