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Finding the Third Proportional to 374,686 and 571,415

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Solution

The third proportional to 374,686 and 571,415 is: 871,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,686 : 571,415 = 571,415 : x
  2. Step 2: Convert to fraction form
    374,686/571,415 = 571,415/x
  3. Step 3: Cross multiply
    374,686x = 571,415 × 571,415
  4. Step 4: Simplify right side
    374,686x = 326,515,102,225
  5. Step 5: Solve for x
    x = 326,515,102,225/374,686
  6. Step 6: Final answer
    x = 871,436.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.