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Finding the Third Proportional to 279,787.50 and 598,837.50

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Solution

The third proportional to 279,787.50 and 598,837.50 is: 1,281,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,787.50 : 598,837.50 = 598,837.50 : x
  2. Step 2: Convert to fraction form
    279,787.50/598,837.50 = 598,837.50/x
  3. Step 3: Cross multiply
    279,787.50x = 598,837.50 × 598,837.50
  4. Step 4: Simplify right side
    279,787.50x = 358,606,351,406.25
  5. Step 5: Solve for x
    x = 358,606,351,406.25/279,787.50
  6. Step 6: Final answer
    x = 1,281,709.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.