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Finding the Third Proportional to 292,072 and 442,007

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Solution

The third proportional to 292,072 and 442,007 is: 668,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,072 : 442,007 = 442,007 : x
  2. Step 2: Convert to fraction form
    292,072/442,007 = 442,007/x
  3. Step 3: Cross multiply
    292,072x = 442,007 × 442,007
  4. Step 4: Simplify right side
    292,072x = 195,370,188,049
  5. Step 5: Solve for x
    x = 195,370,188,049/292,072
  6. Step 6: Final answer
    x = 668,911.05

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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.