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Finding the Third Proportional to 142,776 and 338,244.19

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Solution

The third proportional to 142,776 and 338,244.19 is: 801,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776 : 338,244.19 = 338,244.19 : x
  2. Step 2: Convert to fraction form
    142,776/338,244.19 = 338,244.19/x
  3. Step 3: Cross multiply
    142,776x = 338,244.19 × 338,244.19
  4. Step 4: Simplify right side
    142,776x = 114,409,130,377.54
  5. Step 5: Solve for x
    x = 114,409,130,377.54/142,776
  6. Step 6: Final answer
    x = 801,319.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.