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Finding the Third Proportional to 128,160 and 279,584

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Solution

The third proportional to 128,160 and 279,584 is: 609,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,160 : 279,584 = 279,584 : x
  2. Step 2: Convert to fraction form
    128,160/279,584 = 279,584/x
  3. Step 3: Cross multiply
    128,160x = 279,584 × 279,584
  4. Step 4: Simplify right side
    128,160x = 78,167,213,056
  5. Step 5: Solve for x
    x = 78,167,213,056/128,160
  6. Step 6: Final answer
    x = 609,918.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.