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Finding the Third Proportional to 69,428 and 152,509

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Solution

The third proportional to 69,428 and 152,509 is: 335,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,428 : 152,509 = 152,509 : x
  2. Step 2: Convert to fraction form
    69,428/152,509 = 152,509/x
  3. Step 3: Cross multiply
    69,428x = 152,509 × 152,509
  4. Step 4: Simplify right side
    69,428x = 23,258,995,081
  5. Step 5: Solve for x
    x = 23,258,995,081/69,428
  6. Step 6: Final answer
    x = 335,008.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.