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Finding the Third Proportional to 289,646 and 432,828

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Solution

The third proportional to 289,646 and 432,828 is: 646,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,646 : 432,828 = 432,828 : x
  2. Step 2: Convert to fraction form
    289,646/432,828 = 432,828/x
  3. Step 3: Cross multiply
    289,646x = 432,828 × 432,828
  4. Step 4: Simplify right side
    289,646x = 187,340,077,584
  5. Step 5: Solve for x
    x = 187,340,077,584/289,646
  6. Step 6: Final answer
    x = 646,789.80

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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.