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Finding the Third Proportional to 386,070 and 582,142

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Solution

The third proportional to 386,070 and 582,142 is: 877,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,070 : 582,142 = 582,142 : x
  2. Step 2: Convert to fraction form
    386,070/582,142 = 582,142/x
  3. Step 3: Cross multiply
    386,070x = 582,142 × 582,142
  4. Step 4: Simplify right side
    386,070x = 338,889,308,164
  5. Step 5: Solve for x
    x = 338,889,308,164/386,070
  6. Step 6: Final answer
    x = 877,792.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.