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Finding the Third Proportional to 142,600.50 and 309,835.13

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Solution

The third proportional to 142,600.50 and 309,835.13 is: 673,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,600.50 : 309,835.13 = 309,835.13 : x
  2. Step 2: Convert to fraction form
    142,600.50/309,835.13 = 309,835.13/x
  3. Step 3: Cross multiply
    142,600.50x = 309,835.13 × 309,835.13
  4. Step 4: Simplify right side
    142,600.50x = 95,997,804,683.77
  5. Step 5: Solve for x
    x = 95,997,804,683.77/142,600.50
  6. Step 6: Final answer
    x = 673,194.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.