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Finding the Third Proportional to 76,490 and 165,689

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Solution

The third proportional to 76,490 and 165,689 is: 358,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490 : 165,689 = 165,689 : x
  2. Step 2: Convert to fraction form
    76,490/165,689 = 165,689/x
  3. Step 3: Cross multiply
    76,490x = 165,689 × 165,689
  4. Step 4: Simplify right side
    76,490x = 27,452,844,721
  5. Step 5: Solve for x
    x = 27,452,844,721/76,490
  6. Step 6: Final answer
    x = 358,907.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.