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Finding the Third Proportional to 290,236.50 and 448,294.50

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Solution

The third proportional to 290,236.50 and 448,294.50 is: 692,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,236.50 : 448,294.50 = 448,294.50 : x
  2. Step 2: Convert to fraction form
    290,236.50/448,294.50 = 448,294.50/x
  3. Step 3: Cross multiply
    290,236.50x = 448,294.50 × 448,294.50
  4. Step 4: Simplify right side
    290,236.50x = 200,967,958,730.25
  5. Step 5: Solve for x
    x = 200,967,958,730.25/290,236.50
  6. Step 6: Final answer
    x = 692,428.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.