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Finding the Third Proportional to 432,580 and 672,144

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Solution

The third proportional to 432,580 and 672,144 is: 1,044,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,580 : 672,144 = 672,144 : x
  2. Step 2: Convert to fraction form
    432,580/672,144 = 672,144/x
  3. Step 3: Cross multiply
    432,580x = 672,144 × 672,144
  4. Step 4: Simplify right side
    432,580x = 451,777,556,736
  5. Step 5: Solve for x
    x = 451,777,556,736/432,580
  6. Step 6: Final answer
    x = 1,044,379.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.