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Finding the Third Proportional to 289,674 and 432,866

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Solution

The third proportional to 289,674 and 432,866 is: 646,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,674 : 432,866 = 432,866 : x
  2. Step 2: Convert to fraction form
    289,674/432,866 = 432,866/x
  3. Step 3: Cross multiply
    289,674x = 432,866 × 432,866
  4. Step 4: Simplify right side
    289,674x = 187,372,973,956
  5. Step 5: Solve for x
    x = 187,372,973,956/289,674
  6. Step 6: Final answer
    x = 646,840.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.