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Finding the Third Proportional to 455,280 and 655,800

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Solution

The third proportional to 455,280 and 655,800 is: 944,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,280 : 655,800 = 655,800 : x
  2. Step 2: Convert to fraction form
    455,280/655,800 = 655,800/x
  3. Step 3: Cross multiply
    455,280x = 655,800 × 655,800
  4. Step 4: Simplify right side
    455,280x = 430,073,640,000
  5. Step 5: Solve for x
    x = 430,073,640,000/455,280
  6. Step 6: Final answer
    x = 944,635.48

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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.