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Finding the Third Proportional to 292,716 and 451,890

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Solution

The third proportional to 292,716 and 451,890 is: 697,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,716 : 451,890 = 451,890 : x
  2. Step 2: Convert to fraction form
    292,716/451,890 = 451,890/x
  3. Step 3: Cross multiply
    292,716x = 451,890 × 451,890
  4. Step 4: Simplify right side
    292,716x = 204,204,572,100
  5. Step 5: Solve for x
    x = 204,204,572,100/292,716
  6. Step 6: Final answer
    x = 697,620.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.