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Finding the Third Proportional to 139,593 and 290,985

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Solution

The third proportional to 139,593 and 290,985 is: 606,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,593 : 290,985 = 290,985 : x
  2. Step 2: Convert to fraction form
    139,593/290,985 = 290,985/x
  3. Step 3: Cross multiply
    139,593x = 290,985 × 290,985
  4. Step 4: Simplify right side
    139,593x = 84,672,270,225
  5. Step 5: Solve for x
    x = 84,672,270,225/139,593
  6. Step 6: Final answer
    x = 606,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.