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Finding the Third Proportional to 455,248 and 655,755

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Solution

The third proportional to 455,248 and 655,755 is: 944,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,248 : 655,755 = 655,755 : x
  2. Step 2: Convert to fraction form
    455,248/655,755 = 655,755/x
  3. Step 3: Cross multiply
    455,248x = 655,755 × 655,755
  4. Step 4: Simplify right side
    455,248x = 430,014,620,025
  5. Step 5: Solve for x
    x = 430,014,620,025/455,248
  6. Step 6: Final answer
    x = 944,572.23

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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.