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Finding the Third Proportional to 429,242.50 and 664,028.50

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Solution

The third proportional to 429,242.50 and 664,028.50 is: 1,027,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,242.50 : 664,028.50 = 664,028.50 : x
  2. Step 2: Convert to fraction form
    429,242.50/664,028.50 = 664,028.50/x
  3. Step 3: Cross multiply
    429,242.50x = 664,028.50 × 664,028.50
  4. Step 4: Simplify right side
    429,242.50x = 440,933,848,812.25
  5. Step 5: Solve for x
    x = 440,933,848,812.25/429,242.50
  6. Step 6: Final answer
    x = 1,027,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.