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Finding the Third Proportional to 290,038.50 and 628,458

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Solution

The third proportional to 290,038.50 and 628,458 is: 1,361,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.50 : 628,458 = 628,458 : x
  2. Step 2: Convert to fraction form
    290,038.50/628,458 = 628,458/x
  3. Step 3: Cross multiply
    290,038.50x = 628,458 × 628,458
  4. Step 4: Simplify right side
    290,038.50x = 394,959,457,764
  5. Step 5: Solve for x
    x = 394,959,457,764/290,038.50
  6. Step 6: Final answer
    x = 1,361,748.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.