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Finding the Third Proportional to 290,280 and 411,106

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Solution

The third proportional to 290,280 and 411,106 is: 582,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,280 : 411,106 = 411,106 : x
  2. Step 2: Convert to fraction form
    290,280/411,106 = 411,106/x
  3. Step 3: Cross multiply
    290,280x = 411,106 × 411,106
  4. Step 4: Simplify right side
    290,280x = 169,008,143,236
  5. Step 5: Solve for x
    x = 169,008,143,236/290,280
  6. Step 6: Final answer
    x = 582,224.55

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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.