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Finding the Third Proportional to 455,216 and 655,754

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Solution

The third proportional to 455,216 and 655,754 is: 944,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,216 : 655,754 = 655,754 : x
  2. Step 2: Convert to fraction form
    455,216/655,754 = 655,754/x
  3. Step 3: Cross multiply
    455,216x = 655,754 × 655,754
  4. Step 4: Simplify right side
    455,216x = 430,013,308,516
  5. Step 5: Solve for x
    x = 430,013,308,516/455,216
  6. Step 6: Final answer
    x = 944,635.75

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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.