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Finding the Third Proportional to 209,796.75 and 316,436.63

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Solution

The third proportional to 209,796.75 and 316,436.63 is: 477,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796.75 : 316,436.63 = 316,436.63 : x
  2. Step 2: Convert to fraction form
    209,796.75/316,436.63 = 316,436.63/x
  3. Step 3: Cross multiply
    209,796.75x = 316,436.63 × 316,436.63
  4. Step 4: Simplify right side
    209,796.75x = 100,132,137,641.39
  5. Step 5: Solve for x
    x = 100,132,137,641.39/209,796.75
  6. Step 6: Final answer
    x = 477,281.64

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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.