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Finding the Third Proportional to 77,344 and 163,840

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Solution

The third proportional to 77,344 and 163,840 is: 347,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344 : 163,840 = 163,840 : x
  2. Step 2: Convert to fraction form
    77,344/163,840 = 163,840/x
  3. Step 3: Cross multiply
    77,344x = 163,840 × 163,840
  4. Step 4: Simplify right side
    77,344x = 26,843,545,600
  5. Step 5: Solve for x
    x = 26,843,545,600/77,344
  6. Step 6: Final answer
    x = 347,066.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.