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Finding the Third Proportional to 209,801.25 and 316,443.75

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Solution

The third proportional to 209,801.25 and 316,443.75 is: 477,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.25 : 316,443.75 = 316,443.75 : x
  2. Step 2: Convert to fraction form
    209,801.25/316,443.75 = 316,443.75/x
  3. Step 3: Cross multiply
    209,801.25x = 316,443.75 × 316,443.75
  4. Step 4: Simplify right side
    209,801.25x = 100,136,646,914.06
  5. Step 5: Solve for x
    x = 100,136,646,914.06/209,801.25
  6. Step 6: Final answer
    x = 477,292.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.