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Finding the Third Proportional to 362,138 and 563,913

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Solution

The third proportional to 362,138 and 563,913 is: 878,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,138 : 563,913 = 563,913 : x
  2. Step 2: Convert to fraction form
    362,138/563,913 = 563,913/x
  3. Step 3: Cross multiply
    362,138x = 563,913 × 563,913
  4. Step 4: Simplify right side
    362,138x = 317,997,871,569
  5. Step 5: Solve for x
    x = 317,997,871,569/362,138
  6. Step 6: Final answer
    x = 878,112.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.