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Finding the Third Proportional to 316,616 and 445,875

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Solution

The third proportional to 316,616 and 445,875 is: 627,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,616 : 445,875 = 445,875 : x
  2. Step 2: Convert to fraction form
    316,616/445,875 = 445,875/x
  3. Step 3: Cross multiply
    316,616x = 445,875 × 445,875
  4. Step 4: Simplify right side
    316,616x = 198,804,515,625
  5. Step 5: Solve for x
    x = 198,804,515,625/316,616
  6. Step 6: Final answer
    x = 627,904.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.