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Finding the Third Proportional to 386,487 and 568,170

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Solution

The third proportional to 386,487 and 568,170 is: 835,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,487 : 568,170 = 568,170 : x
  2. Step 2: Convert to fraction form
    386,487/568,170 = 568,170/x
  3. Step 3: Cross multiply
    386,487x = 568,170 × 568,170
  4. Step 4: Simplify right side
    386,487x = 322,817,148,900
  5. Step 5: Solve for x
    x = 322,817,148,900/386,487
  6. Step 6: Final answer
    x = 835,260.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.