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Finding the Third Proportional to 290,435.63 and 632,543.06

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Solution

The third proportional to 290,435.63 and 632,543.06 is: 1,377,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,435.63 : 632,543.06 = 632,543.06 : x
  2. Step 2: Convert to fraction form
    290,435.63/632,543.06 = 632,543.06/x
  3. Step 3: Cross multiply
    290,435.63x = 632,543.06 × 632,543.06
  4. Step 4: Simplify right side
    290,435.63x = 400,110,725,916.88
  5. Step 5: Solve for x
    x = 400,110,725,916.88/290,435.63
  6. Step 6: Final answer
    x = 1,377,622.76

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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.