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Finding the Third Proportional to 451,651 and 660,513

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Solution

The third proportional to 451,651 and 660,513 is: 965,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,651 : 660,513 = 660,513 : x
  2. Step 2: Convert to fraction form
    451,651/660,513 = 660,513/x
  3. Step 3: Cross multiply
    451,651x = 660,513 × 660,513
  4. Step 4: Simplify right side
    451,651x = 436,277,423,169
  5. Step 5: Solve for x
    x = 436,277,423,169/451,651
  6. Step 6: Final answer
    x = 965,961.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.