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Finding the Third Proportional to 290,764.13 and 424,866.38

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Solution

The third proportional to 290,764.13 and 424,866.38 is: 620,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,764.13 : 424,866.38 = 424,866.38 : x
  2. Step 2: Convert to fraction form
    290,764.13/424,866.38 = 424,866.38/x
  3. Step 3: Cross multiply
    290,764.13x = 424,866.38 × 424,866.38
  4. Step 4: Simplify right side
    290,764.13x = 180,511,436,605.64
  5. Step 5: Solve for x
    x = 180,511,436,605.64/290,764.13
  6. Step 6: Final answer
    x = 620,817.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.