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Finding the Third Proportional to 320,616 and 455,724

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Solution

The third proportional to 320,616 and 455,724 is: 647,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,616 : 455,724 = 455,724 : x
  2. Step 2: Convert to fraction form
    320,616/455,724 = 455,724/x
  3. Step 3: Cross multiply
    320,616x = 455,724 × 455,724
  4. Step 4: Simplify right side
    320,616x = 207,684,364,176
  5. Step 5: Solve for x
    x = 207,684,364,176/320,616
  6. Step 6: Final answer
    x = 647,766.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.