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Finding the Third Proportional to 142,407 and 303,219

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Solution

The third proportional to 142,407 and 303,219 is: 645,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407 : 303,219 = 303,219 : x
  2. Step 2: Convert to fraction form
    142,407/303,219 = 303,219/x
  3. Step 3: Cross multiply
    142,407x = 303,219 × 303,219
  4. Step 4: Simplify right side
    142,407x = 91,941,761,961
  5. Step 5: Solve for x
    x = 91,941,761,961/142,407
  6. Step 6: Final answer
    x = 645,626.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.