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Finding the Third Proportional to 133,809.47 and 288,327.09

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Solution

The third proportional to 133,809.47 and 288,327.09 is: 621,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.47 : 288,327.09 = 288,327.09 : x
  2. Step 2: Convert to fraction form
    133,809.47/288,327.09 = 288,327.09/x
  3. Step 3: Cross multiply
    133,809.47x = 288,327.09 × 288,327.09
  4. Step 4: Simplify right side
    133,809.47x = 83,132,512,990.32
  5. Step 5: Solve for x
    x = 83,132,512,990.32/133,809.47
  6. Step 6: Final answer
    x = 621,275.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.