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Finding the Third Proportional to 426,717 and 916,706.25

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Solution

The third proportional to 426,717 and 916,706.25 is: 1,969,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,717 : 916,706.25 = 916,706.25 : x
  2. Step 2: Convert to fraction form
    426,717/916,706.25 = 916,706.25/x
  3. Step 3: Cross multiply
    426,717x = 916,706.25 × 916,706.25
  4. Step 4: Simplify right side
    426,717x = 840,350,348,789.06
  5. Step 5: Solve for x
    x = 840,350,348,789.06/426,717
  6. Step 6: Final answer
    x = 1,969,338.81

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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.