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Finding the Third Proportional to 343,372.50 and 470,530.69

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Solution

The third proportional to 343,372.50 and 470,530.69 is: 644,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,372.50 : 470,530.69 = 470,530.69 : x
  2. Step 2: Convert to fraction form
    343,372.50/470,530.69 = 470,530.69/x
  3. Step 3: Cross multiply
    343,372.50x = 470,530.69 × 470,530.69
  4. Step 4: Simplify right side
    343,372.50x = 221,399,127,879.22
  5. Step 5: Solve for x
    x = 221,399,127,879.22/343,372.50
  6. Step 6: Final answer
    x = 644,778.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.