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Finding the Third Proportional to 427,349 and 911,902

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Solution

The third proportional to 427,349 and 911,902 is: 1,945,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,349 : 911,902 = 911,902 : x
  2. Step 2: Convert to fraction form
    427,349/911,902 = 911,902/x
  3. Step 3: Cross multiply
    427,349x = 911,902 × 911,902
  4. Step 4: Simplify right side
    427,349x = 831,565,257,604
  5. Step 5: Solve for x
    x = 831,565,257,604/427,349
  6. Step 6: Final answer
    x = 1,945,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.