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Finding the Third Proportional to 289,668 and 432,857

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Solution

The third proportional to 289,668 and 432,857 is: 646,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,668 : 432,857 = 432,857 : x
  2. Step 2: Convert to fraction form
    289,668/432,857 = 432,857/x
  3. Step 3: Cross multiply
    289,668x = 432,857 × 432,857
  4. Step 4: Simplify right side
    289,668x = 187,365,182,449
  5. Step 5: Solve for x
    x = 187,365,182,449/289,668
  6. Step 6: Final answer
    x = 646,827.34

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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.