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Finding the Third Proportional to 159,833.25 and 344,574

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Solution

The third proportional to 159,833.25 and 344,574 is: 742,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,833.25 : 344,574 = 344,574 : x
  2. Step 2: Convert to fraction form
    159,833.25/344,574 = 344,574/x
  3. Step 3: Cross multiply
    159,833.25x = 344,574 × 344,574
  4. Step 4: Simplify right side
    159,833.25x = 118,731,241,476
  5. Step 5: Solve for x
    x = 118,731,241,476/159,833.25
  6. Step 6: Final answer
    x = 742,844.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.