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Finding the Third Proportional to 840,927 and 1,304,584.50

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Solution

The third proportional to 840,927 and 1,304,584.50 is: 2,023,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,927 : 1,304,584.50 = 1,304,584.50 : x
  2. Step 2: Convert to fraction form
    840,927/1,304,584.50 = 1,304,584.50/x
  3. Step 3: Cross multiply
    840,927x = 1,304,584.50 × 1,304,584.50
  4. Step 4: Simplify right side
    840,927x = 1,701,940,717,640.25
  5. Step 5: Solve for x
    x = 1,701,940,717,640.25/840,927
  6. Step 6: Final answer
    x = 2,023,886.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.