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Finding the Third Proportional to 455,178 and 655,656

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Solution

The third proportional to 455,178 and 655,656 is: 944,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,178 : 655,656 = 655,656 : x
  2. Step 2: Convert to fraction form
    455,178/655,656 = 655,656/x
  3. Step 3: Cross multiply
    455,178x = 655,656 × 655,656
  4. Step 4: Simplify right side
    455,178x = 429,884,790,336
  5. Step 5: Solve for x
    x = 429,884,790,336/455,178
  6. Step 6: Final answer
    x = 944,432.27

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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.