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Finding the Third Proportional to 290,233.13 and 448,289.44

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Solution

The third proportional to 290,233.13 and 448,289.44 is: 692,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233.13 : 448,289.44 = 448,289.44 : x
  2. Step 2: Convert to fraction form
    290,233.13/448,289.44 = 448,289.44/x
  3. Step 3: Cross multiply
    290,233.13x = 448,289.44 × 448,289.44
  4. Step 4: Simplify right side
    290,233.13x = 200,963,419,774.07
  5. Step 5: Solve for x
    x = 200,963,419,774.07/290,233.13
  6. Step 6: Final answer
    x = 692,420.69

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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.