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Finding the Third Proportional to 53,840 and 77,068

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Solution

The third proportional to 53,840 and 77,068 is: 110,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840 : 77,068 = 77,068 : x
  2. Step 2: Convert to fraction form
    53,840/77,068 = 77,068/x
  3. Step 3: Cross multiply
    53,840x = 77,068 × 77,068
  4. Step 4: Simplify right side
    53,840x = 5,939,476,624
  5. Step 5: Solve for x
    x = 5,939,476,624/53,840
  6. Step 6: Final answer
    x = 110,317.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.