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Finding the Third Proportional to 290,360.53 and 426,972.09

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Solution

The third proportional to 290,360.53 and 426,972.09 is: 627,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,360.53 : 426,972.09 = 426,972.09 : x
  2. Step 2: Convert to fraction form
    290,360.53/426,972.09 = 426,972.09/x
  3. Step 3: Cross multiply
    290,360.53x = 426,972.09 × 426,972.09
  4. Step 4: Simplify right side
    290,360.53x = 182,305,168,841.26
  5. Step 5: Solve for x
    x = 182,305,168,841.26/290,360.53
  6. Step 6: Final answer
    x = 627,857.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.