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Finding the Third Proportional to 455,217 and 655,758

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Solution

The third proportional to 455,217 and 655,758 is: 944,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,217 : 655,758 = 655,758 : x
  2. Step 2: Convert to fraction form
    455,217/655,758 = 655,758/x
  3. Step 3: Cross multiply
    455,217x = 655,758 × 655,758
  4. Step 4: Simplify right side
    455,217x = 430,018,554,564
  5. Step 5: Solve for x
    x = 430,018,554,564/455,217
  6. Step 6: Final answer
    x = 944,645.20

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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.