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Finding the Third Proportional to 290,897.25 and 450,169.88

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Solution

The third proportional to 290,897.25 and 450,169.88 is: 696,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,897.25 : 450,169.88 = 450,169.88 : x
  2. Step 2: Convert to fraction form
    290,897.25/450,169.88 = 450,169.88/x
  3. Step 3: Cross multiply
    290,897.25x = 450,169.88 × 450,169.88
  4. Step 4: Simplify right side
    290,897.25x = 202,652,916,357.52
  5. Step 5: Solve for x
    x = 202,652,916,357.52/290,897.25
  6. Step 6: Final answer
    x = 696,647.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.