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Finding the Third Proportional to 386,559 and 585,185

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Solution

The third proportional to 386,559 and 585,185 is: 885,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,559 : 585,185 = 585,185 : x
  2. Step 2: Convert to fraction form
    386,559/585,185 = 585,185/x
  3. Step 3: Cross multiply
    386,559x = 585,185 × 585,185
  4. Step 4: Simplify right side
    386,559x = 342,441,484,225
  5. Step 5: Solve for x
    x = 342,441,484,225/386,559
  6. Step 6: Final answer
    x = 885,871.20

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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.