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Finding the Third Proportional to 69,428 and 154,984

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Solution

The third proportional to 69,428 and 154,984 is: 345,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,428 : 154,984 = 154,984 : x
  2. Step 2: Convert to fraction form
    69,428/154,984 = 154,984/x
  3. Step 3: Cross multiply
    69,428x = 154,984 × 154,984
  4. Step 4: Simplify right side
    69,428x = 24,020,040,256
  5. Step 5: Solve for x
    x = 24,020,040,256/69,428
  6. Step 6: Final answer
    x = 345,970.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.