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Finding the Third Proportional to 42,930 and 104,409

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Solution

The third proportional to 42,930 and 104,409 is: 253,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,930 : 104,409 = 104,409 : x
  2. Step 2: Convert to fraction form
    42,930/104,409 = 104,409/x
  3. Step 3: Cross multiply
    42,930x = 104,409 × 104,409
  4. Step 4: Simplify right side
    42,930x = 10,901,239,281
  5. Step 5: Solve for x
    x = 10,901,239,281/42,930
  6. Step 6: Final answer
    x = 253,930.57

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.