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Finding the Third Proportional to 128,564 and 279,240

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Solution

The third proportional to 128,564 and 279,240 is: 606,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,564 : 279,240 = 279,240 : x
  2. Step 2: Convert to fraction form
    128,564/279,240 = 279,240/x
  3. Step 3: Cross multiply
    128,564x = 279,240 × 279,240
  4. Step 4: Simplify right side
    128,564x = 77,974,977,600
  5. Step 5: Solve for x
    x = 77,974,977,600/128,564
  6. Step 6: Final answer
    x = 606,507.09

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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.