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Finding the Third Proportional to 320,630 and 500,355

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Solution

The third proportional to 320,630 and 500,355 is: 780,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,630 : 500,355 = 500,355 : x
  2. Step 2: Convert to fraction form
    320,630/500,355 = 500,355/x
  3. Step 3: Cross multiply
    320,630x = 500,355 × 500,355
  4. Step 4: Simplify right side
    320,630x = 250,355,126,025
  5. Step 5: Solve for x
    x = 250,355,126,025/320,630
  6. Step 6: Final answer
    x = 780,822.52

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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.