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Finding the Third Proportional to 69,143 and 103,273

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Solution

The third proportional to 69,143 and 103,273 is: 154,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143 : 103,273 = 103,273 : x
  2. Step 2: Convert to fraction form
    69,143/103,273 = 103,273/x
  3. Step 3: Cross multiply
    69,143x = 103,273 × 103,273
  4. Step 4: Simplify right side
    69,143x = 10,665,312,529
  5. Step 5: Solve for x
    x = 10,665,312,529/69,143
  6. Step 6: Final answer
    x = 154,250.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.