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Finding the Third Proportional to 290,566.92 and 436,142.31

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Solution

The third proportional to 290,566.92 and 436,142.31 is: 654,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,566.92 : 436,142.31 = 436,142.31 : x
  2. Step 2: Convert to fraction form
    290,566.92/436,142.31 = 436,142.31/x
  3. Step 3: Cross multiply
    290,566.92x = 436,142.31 × 436,142.31
  4. Step 4: Simplify right side
    290,566.92x = 190,220,118,775.96
  5. Step 5: Solve for x
    x = 190,220,118,775.96/290,566.92
  6. Step 6: Final answer
    x = 654,651.66

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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.