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Finding the Third Proportional to 209,795.06 and 316,438.31

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Solution

The third proportional to 209,795.06 and 316,438.31 is: 477,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,795.06 : 316,438.31 = 316,438.31 : x
  2. Step 2: Convert to fraction form
    209,795.06/316,438.31 = 316,438.31/x
  3. Step 3: Cross multiply
    209,795.06x = 316,438.31 × 316,438.31
  4. Step 4: Simplify right side
    209,795.06x = 100,133,205,617.85
  5. Step 5: Solve for x
    x = 100,133,205,617.85/209,795.06
  6. Step 6: Final answer
    x = 477,290.57

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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.