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Finding the Third Proportional to 68,496 and 103,236

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Solution

The third proportional to 68,496 and 103,236 is: 155,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496 : 103,236 = 103,236 : x
  2. Step 2: Convert to fraction form
    68,496/103,236 = 103,236/x
  3. Step 3: Cross multiply
    68,496x = 103,236 × 103,236
  4. Step 4: Simplify right side
    68,496x = 10,657,671,696
  5. Step 5: Solve for x
    x = 10,657,671,696/68,496
  6. Step 6: Final answer
    x = 155,595.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.