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Finding the Third Proportional to 140,050 and 209,586

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Solution

The third proportional to 140,050 and 209,586 is: 313,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,050 : 209,586 = 209,586 : x
  2. Step 2: Convert to fraction form
    140,050/209,586 = 209,586/x
  3. Step 3: Cross multiply
    140,050x = 209,586 × 209,586
  4. Step 4: Simplify right side
    140,050x = 43,926,291,396
  5. Step 5: Solve for x
    x = 43,926,291,396/140,050
  6. Step 6: Final answer
    x = 313,647.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.