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Finding the Third Proportional to 290,363 and 442,925

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Solution

The third proportional to 290,363 and 442,925 is: 675,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,363 : 442,925 = 442,925 : x
  2. Step 2: Convert to fraction form
    290,363/442,925 = 442,925/x
  3. Step 3: Cross multiply
    290,363x = 442,925 × 442,925
  4. Step 4: Simplify right side
    290,363x = 196,182,555,625
  5. Step 5: Solve for x
    x = 196,182,555,625/290,363
  6. Step 6: Final answer
    x = 675,645.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.