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Finding the Third Proportional to 289,632 and 429,932

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Solution

The third proportional to 289,632 and 429,932 is: 638,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,632 : 429,932 = 429,932 : x
  2. Step 2: Convert to fraction form
    289,632/429,932 = 429,932/x
  3. Step 3: Cross multiply
    289,632x = 429,932 × 429,932
  4. Step 4: Simplify right side
    289,632x = 184,841,524,624
  5. Step 5: Solve for x
    x = 184,841,524,624/289,632
  6. Step 6: Final answer
    x = 638,194.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.