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Finding the Third Proportional to 562,972 and 871,386

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Solution

The third proportional to 562,972 and 871,386 is: 1,348,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,972 : 871,386 = 871,386 : x
  2. Step 2: Convert to fraction form
    562,972/871,386 = 871,386/x
  3. Step 3: Cross multiply
    562,972x = 871,386 × 871,386
  4. Step 4: Simplify right side
    562,972x = 759,313,560,996
  5. Step 5: Solve for x
    x = 759,313,560,996/562,972
  6. Step 6: Final answer
    x = 1,348,759.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.