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Finding the Third Proportional to 289,881.25 and 451,385.25

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Solution

The third proportional to 289,881.25 and 451,385.25 is: 702,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.25 : 451,385.25 = 451,385.25 : x
  2. Step 2: Convert to fraction form
    289,881.25/451,385.25 = 451,385.25/x
  3. Step 3: Cross multiply
    289,881.25x = 451,385.25 × 451,385.25
  4. Step 4: Simplify right side
    289,881.25x = 203,748,643,917.56
  5. Step 5: Solve for x
    x = 203,748,643,917.56/289,881.25
  6. Step 6: Final answer
    x = 702,869.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.