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Finding the Third Proportional to 290,531.25 and 632,506.50

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Solution

The third proportional to 290,531.25 and 632,506.50 is: 1,377,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,531.25 : 632,506.50 = 632,506.50 : x
  2. Step 2: Convert to fraction form
    290,531.25/632,506.50 = 632,506.50/x
  3. Step 3: Cross multiply
    290,531.25x = 632,506.50 × 632,506.50
  4. Step 4: Simplify right side
    290,531.25x = 400,064,472,542.25
  5. Step 5: Solve for x
    x = 400,064,472,542.25/290,531.25
  6. Step 6: Final answer
    x = 1,377,010.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.