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Finding the Third Proportional to 291,313.50 and 439,644.75

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Solution

The third proportional to 291,313.50 and 439,644.75 is: 663,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,313.50 : 439,644.75 = 439,644.75 : x
  2. Step 2: Convert to fraction form
    291,313.50/439,644.75 = 439,644.75/x
  3. Step 3: Cross multiply
    291,313.50x = 439,644.75 × 439,644.75
  4. Step 4: Simplify right side
    291,313.50x = 193,287,506,202.56
  5. Step 5: Solve for x
    x = 193,287,506,202.56/291,313.50
  6. Step 6: Final answer
    x = 663,503.43

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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.