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Finding the Third Proportional to 455,334 and 655,920

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Solution

The third proportional to 455,334 and 655,920 is: 944,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,334 : 655,920 = 655,920 : x
  2. Step 2: Convert to fraction form
    455,334/655,920 = 655,920/x
  3. Step 3: Cross multiply
    455,334x = 655,920 × 655,920
  4. Step 4: Simplify right side
    455,334x = 430,231,046,400
  5. Step 5: Solve for x
    x = 430,231,046,400/455,334
  6. Step 6: Final answer
    x = 944,869.14

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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.