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Finding the Third Proportional to 289,678 and 432,872

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Solution

The third proportional to 289,678 and 432,872 is: 646,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,678 : 432,872 = 432,872 : x
  2. Step 2: Convert to fraction form
    289,678/432,872 = 432,872/x
  3. Step 3: Cross multiply
    289,678x = 432,872 × 432,872
  4. Step 4: Simplify right side
    289,678x = 187,378,168,384
  5. Step 5: Solve for x
    x = 187,378,168,384/289,678
  6. Step 6: Final answer
    x = 646,849.84

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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.