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Finding the Third Proportional to 320,595.75 and 500,303.25

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Solution

The third proportional to 320,595.75 and 500,303.25 is: 780,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,595.75 : 500,303.25 = 500,303.25 : x
  2. Step 2: Convert to fraction form
    320,595.75/500,303.25 = 500,303.25/x
  3. Step 3: Cross multiply
    320,595.75x = 500,303.25 × 500,303.25
  4. Step 4: Simplify right side
    320,595.75x = 250,303,341,960.56
  5. Step 5: Solve for x
    x = 250,303,341,960.56/320,595.75
  6. Step 6: Final answer
    x = 780,744.42

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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.