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Finding the Third Proportional to 290,826 and 436,546.13

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Solution

The third proportional to 290,826 and 436,546.13 is: 655,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826 : 436,546.13 = 436,546.13 : x
  2. Step 2: Convert to fraction form
    290,826/436,546.13 = 436,546.13/x
  3. Step 3: Cross multiply
    290,826x = 436,546.13 × 436,546.13
  4. Step 4: Simplify right side
    290,826x = 190,572,519,252.52
  5. Step 5: Solve for x
    x = 190,572,519,252.52/290,826
  6. Step 6: Final answer
    x = 655,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.