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Finding the Third Proportional to 160,356 and 285,720

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Solution

The third proportional to 160,356 and 285,720 is: 509,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,356 : 285,720 = 285,720 : x
  2. Step 2: Convert to fraction form
    160,356/285,720 = 285,720/x
  3. Step 3: Cross multiply
    160,356x = 285,720 × 285,720
  4. Step 4: Simplify right side
    160,356x = 81,635,918,400
  5. Step 5: Solve for x
    x = 81,635,918,400/160,356
  6. Step 6: Final answer
    x = 509,091.76

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.