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Finding the Third Proportional to 338,424.75 and 507,709.69

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Solution

The third proportional to 338,424.75 and 507,709.69 is: 761,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,424.75 : 507,709.69 = 507,709.69 : x
  2. Step 2: Convert to fraction form
    338,424.75/507,709.69 = 507,709.69/x
  3. Step 3: Cross multiply
    338,424.75x = 507,709.69 × 507,709.69
  4. Step 4: Simplify right side
    338,424.75x = 257,769,126,781.35
  5. Step 5: Solve for x
    x = 257,769,126,781.35/338,424.75
  6. Step 6: Final answer
    x = 761,673.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.