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Finding the Third Proportional to 426,654 and 914,029.50

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Solution

The third proportional to 426,654 and 914,029.50 is: 1,958,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,654 : 914,029.50 = 914,029.50 : x
  2. Step 2: Convert to fraction form
    426,654/914,029.50 = 914,029.50/x
  3. Step 3: Cross multiply
    426,654x = 914,029.50 × 914,029.50
  4. Step 4: Simplify right side
    426,654x = 835,449,926,870.25
  5. Step 5: Solve for x
    x = 835,449,926,870.25/426,654
  6. Step 6: Final answer
    x = 1,958,143.90

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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.