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Finding the Third Proportional to 290,208 and 455,760

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Solution

The third proportional to 290,208 and 455,760 is: 715,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,208 : 455,760 = 455,760 : x
  2. Step 2: Convert to fraction form
    290,208/455,760 = 455,760/x
  3. Step 3: Cross multiply
    290,208x = 455,760 × 455,760
  4. Step 4: Simplify right side
    290,208x = 207,717,177,600
  5. Step 5: Solve for x
    x = 207,717,177,600/290,208
  6. Step 6: Final answer
    x = 715,752.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.