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Finding the Third Proportional to 50,490 and 77,838

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Solution

The third proportional to 50,490 and 77,838 is: 119,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490 : 77,838 = 77,838 : x
  2. Step 2: Convert to fraction form
    50,490/77,838 = 77,838/x
  3. Step 3: Cross multiply
    50,490x = 77,838 × 77,838
  4. Step 4: Simplify right side
    50,490x = 6,058,754,244
  5. Step 5: Solve for x
    x = 6,058,754,244/50,490
  6. Step 6: Final answer
    x = 119,999.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.