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Finding the Third Proportional to 290,531.50 and 627,746.50

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Solution

The third proportional to 290,531.50 and 627,746.50 is: 1,356,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,531.50 : 627,746.50 = 627,746.50 : x
  2. Step 2: Convert to fraction form
    290,531.50/627,746.50 = 627,746.50/x
  3. Step 3: Cross multiply
    290,531.50x = 627,746.50 × 627,746.50
  4. Step 4: Simplify right side
    290,531.50x = 394,065,668,262.25
  5. Step 5: Solve for x
    x = 394,065,668,262.25/290,531.50
  6. Step 6: Final answer
    x = 1,356,361.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.