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Finding the Third Proportional to 455,220 and 655,760

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Solution

The third proportional to 455,220 and 655,760 is: 944,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,220 : 655,760 = 655,760 : x
  2. Step 2: Convert to fraction form
    455,220/655,760 = 655,760/x
  3. Step 3: Cross multiply
    455,220x = 655,760 × 655,760
  4. Step 4: Simplify right side
    455,220x = 430,021,177,600
  5. Step 5: Solve for x
    x = 430,021,177,600/455,220
  6. Step 6: Final answer
    x = 944,644.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.