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Finding the Third Proportional to 117,320 and 247,840

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Solution

The third proportional to 117,320 and 247,840 is: 523,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,320 : 247,840 = 247,840 : x
  2. Step 2: Convert to fraction form
    117,320/247,840 = 247,840/x
  3. Step 3: Cross multiply
    117,320x = 247,840 × 247,840
  4. Step 4: Simplify right side
    117,320x = 61,424,665,600
  5. Step 5: Solve for x
    x = 61,424,665,600/117,320
  6. Step 6: Final answer
    x = 523,565.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.