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Finding the Third Proportional to 427,754 and 626,079

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Solution

The third proportional to 427,754 and 626,079 is: 916,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,754 : 626,079 = 626,079 : x
  2. Step 2: Convert to fraction form
    427,754/626,079 = 626,079/x
  3. Step 3: Cross multiply
    427,754x = 626,079 × 626,079
  4. Step 4: Simplify right side
    427,754x = 391,974,914,241
  5. Step 5: Solve for x
    x = 391,974,914,241/427,754
  6. Step 6: Final answer
    x = 916,355.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.