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Finding the Third Proportional to 313,390.50 and 477,429.75

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Solution

The third proportional to 313,390.50 and 477,429.75 is: 727,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,390.50 : 477,429.75 = 477,429.75 : x
  2. Step 2: Convert to fraction form
    313,390.50/477,429.75 = 477,429.75/x
  3. Step 3: Cross multiply
    313,390.50x = 477,429.75 × 477,429.75
  4. Step 4: Simplify right side
    313,390.50x = 227,939,166,185.06
  5. Step 5: Solve for x
    x = 227,939,166,185.06/313,390.50
  6. Step 6: Final answer
    x = 727,332.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.