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Finding the Third Proportional to 387,182 and 580,773

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Solution

The third proportional to 387,182 and 580,773 is: 871,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,182 : 580,773 = 580,773 : x
  2. Step 2: Convert to fraction form
    387,182/580,773 = 580,773/x
  3. Step 3: Cross multiply
    387,182x = 580,773 × 580,773
  4. Step 4: Simplify right side
    387,182x = 337,297,277,529
  5. Step 5: Solve for x
    x = 337,297,277,529/387,182
  6. Step 6: Final answer
    x = 871,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.