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Finding the Third Proportional to 49,009 and 77,645

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Solution

The third proportional to 49,009 and 77,645 is: 123,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009 : 77,645 = 77,645 : x
  2. Step 2: Convert to fraction form
    49,009/77,645 = 77,645/x
  3. Step 3: Cross multiply
    49,009x = 77,645 × 77,645
  4. Step 4: Simplify right side
    49,009x = 6,028,746,025
  5. Step 5: Solve for x
    x = 6,028,746,025/49,009
  6. Step 6: Final answer
    x = 123,013.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.