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Finding the Third Proportional to 355,570 and 587,286

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Solution

The third proportional to 355,570 and 587,286 is: 970,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,570 : 587,286 = 587,286 : x
  2. Step 2: Convert to fraction form
    355,570/587,286 = 587,286/x
  3. Step 3: Cross multiply
    355,570x = 587,286 × 587,286
  4. Step 4: Simplify right side
    355,570x = 344,904,845,796
  5. Step 5: Solve for x
    x = 344,904,845,796/355,570
  6. Step 6: Final answer
    x = 970,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.