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Finding the Third Proportional to 128,548 and 279,020

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Solution

The third proportional to 128,548 and 279,020 is: 605,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,548 : 279,020 = 279,020 : x
  2. Step 2: Convert to fraction form
    128,548/279,020 = 279,020/x
  3. Step 3: Cross multiply
    128,548x = 279,020 × 279,020
  4. Step 4: Simplify right side
    128,548x = 77,852,160,400
  5. Step 5: Solve for x
    x = 77,852,160,400/128,548
  6. Step 6: Final answer
    x = 605,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.