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Finding the Third Proportional to 69,130 and 103,261

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Solution

The third proportional to 69,130 and 103,261 is: 154,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130 : 103,261 = 103,261 : x
  2. Step 2: Convert to fraction form
    69,130/103,261 = 103,261/x
  3. Step 3: Cross multiply
    69,130x = 103,261 × 103,261
  4. Step 4: Simplify right side
    69,130x = 10,662,834,121
  5. Step 5: Solve for x
    x = 10,662,834,121/69,130
  6. Step 6: Final answer
    x = 154,243.22

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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.