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Finding the Third Proportional to 392,566.50 and 575,317.69

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Solution

The third proportional to 392,566.50 and 575,317.69 is: 843,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,566.50 : 575,317.69 = 575,317.69 : x
  2. Step 2: Convert to fraction form
    392,566.50/575,317.69 = 575,317.69/x
  3. Step 3: Cross multiply
    392,566.50x = 575,317.69 × 575,317.69
  4. Step 4: Simplify right side
    392,566.50x = 330,990,441,550.35
  5. Step 5: Solve for x
    x = 330,990,441,550.35/392,566.50
  6. Step 6: Final answer
    x = 843,144.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.