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Finding the Third Proportional to 435,558 and 655,871

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Solution

The third proportional to 435,558 and 655,871 is: 987,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,558 : 655,871 = 655,871 : x
  2. Step 2: Convert to fraction form
    435,558/655,871 = 655,871/x
  3. Step 3: Cross multiply
    435,558x = 655,871 × 655,871
  4. Step 4: Simplify right side
    435,558x = 430,166,768,641
  5. Step 5: Solve for x
    x = 430,166,768,641/435,558
  6. Step 6: Final answer
    x = 987,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.