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Finding the Third Proportional to 128,700 and 279,558

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Solution

The third proportional to 128,700 and 279,558 is: 607,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,700 : 279,558 = 279,558 : x
  2. Step 2: Convert to fraction form
    128,700/279,558 = 279,558/x
  3. Step 3: Cross multiply
    128,700x = 279,558 × 279,558
  4. Step 4: Simplify right side
    128,700x = 78,152,675,364
  5. Step 5: Solve for x
    x = 78,152,675,364/128,700
  6. Step 6: Final answer
    x = 607,246.89

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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.