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Finding the Third Proportional to 290,164.50 and 410,946.75

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Solution

The third proportional to 290,164.50 and 410,946.75 is: 582,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,164.50 : 410,946.75 = 410,946.75 : x
  2. Step 2: Convert to fraction form
    290,164.50/410,946.75 = 410,946.75/x
  3. Step 3: Cross multiply
    290,164.50x = 410,946.75 × 410,946.75
  4. Step 4: Simplify right side
    290,164.50x = 168,877,231,335.56
  5. Step 5: Solve for x
    x = 168,877,231,335.56/290,164.50
  6. Step 6: Final answer
    x = 582,005.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.