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Finding the Third Proportional to 179,490 and 278,699

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Solution

The third proportional to 179,490 and 278,699 is: 432,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,490 : 278,699 = 278,699 : x
  2. Step 2: Convert to fraction form
    179,490/278,699 = 278,699/x
  3. Step 3: Cross multiply
    179,490x = 278,699 × 278,699
  4. Step 4: Simplify right side
    179,490x = 77,673,132,601
  5. Step 5: Solve for x
    x = 77,673,132,601/179,490
  6. Step 6: Final answer
    x = 432,743.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.