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Finding the Third Proportional to 398,416 and 871,328

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Solution

The third proportional to 398,416 and 871,328 is: 1,905,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416 : 871,328 = 871,328 : x
  2. Step 2: Convert to fraction form
    398,416/871,328 = 871,328/x
  3. Step 3: Cross multiply
    398,416x = 871,328 × 871,328
  4. Step 4: Simplify right side
    398,416x = 759,212,483,584
  5. Step 5: Solve for x
    x = 759,212,483,584/398,416
  6. Step 6: Final answer
    x = 1,905,577.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.