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Finding the Third Proportional to 131,005 and 280,702

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Solution

The third proportional to 131,005 and 280,702 is: 601,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,005 : 280,702 = 280,702 : x
  2. Step 2: Convert to fraction form
    131,005/280,702 = 280,702/x
  3. Step 3: Cross multiply
    131,005x = 280,702 × 280,702
  4. Step 4: Simplify right side
    131,005x = 78,793,612,804
  5. Step 5: Solve for x
    x = 78,793,612,804/131,005
  6. Step 6: Final answer
    x = 601,455.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.