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Finding the Third Proportional to 455,238 and 655,740

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Solution

The third proportional to 455,238 and 655,740 is: 944,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,238 : 655,740 = 655,740 : x
  2. Step 2: Convert to fraction form
    455,238/655,740 = 655,740/x
  3. Step 3: Cross multiply
    455,238x = 655,740 × 655,740
  4. Step 4: Simplify right side
    455,238x = 429,994,947,600
  5. Step 5: Solve for x
    x = 429,994,947,600/455,238
  6. Step 6: Final answer
    x = 944,549.77

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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.