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Finding the Third Proportional to 387,072 and 569,223

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Solution

The third proportional to 387,072 and 569,223 is: 837,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,072 : 569,223 = 569,223 : x
  2. Step 2: Convert to fraction form
    387,072/569,223 = 569,223/x
  3. Step 3: Cross multiply
    387,072x = 569,223 × 569,223
  4. Step 4: Simplify right side
    387,072x = 324,014,823,729
  5. Step 5: Solve for x
    x = 324,014,823,729/387,072
  6. Step 6: Final answer
    x = 837,091.87

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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.