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Finding the Third Proportional to 427,869 and 916,461

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Solution

The third proportional to 427,869 and 916,461 is: 1,962,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,869 : 916,461 = 916,461 : x
  2. Step 2: Convert to fraction form
    427,869/916,461 = 916,461/x
  3. Step 3: Cross multiply
    427,869x = 916,461 × 916,461
  4. Step 4: Simplify right side
    427,869x = 839,900,764,521
  5. Step 5: Solve for x
    x = 839,900,764,521/427,869
  6. Step 6: Final answer
    x = 1,962,985.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.