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Finding the Third Proportional to 292,836 and 442,945

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Solution

The third proportional to 292,836 and 442,945 is: 670,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,836 : 442,945 = 442,945 : x
  2. Step 2: Convert to fraction form
    292,836/442,945 = 442,945/x
  3. Step 3: Cross multiply
    292,836x = 442,945 × 442,945
  4. Step 4: Simplify right side
    292,836x = 196,200,273,025
  5. Step 5: Solve for x
    x = 196,200,273,025/292,836
  6. Step 6: Final answer
    x = 670,000.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.