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Finding the Third Proportional to 285,437.25 and 621,729

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Solution

The third proportional to 285,437.25 and 621,729 is: 1,354,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437.25 : 621,729 = 621,729 : x
  2. Step 2: Convert to fraction form
    285,437.25/621,729 = 621,729/x
  3. Step 3: Cross multiply
    285,437.25x = 621,729 × 621,729
  4. Step 4: Simplify right side
    285,437.25x = 386,546,949,441
  5. Step 5: Solve for x
    x = 386,546,949,441/285,437.25
  6. Step 6: Final answer
    x = 1,354,227.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.