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Finding the Third Proportional to 142,009.88 and 306,161.44

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Solution

The third proportional to 142,009.88 and 306,161.44 is: 660,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,009.88 : 306,161.44 = 306,161.44 : x
  2. Step 2: Convert to fraction form
    142,009.88/306,161.44 = 306,161.44/x
  3. Step 3: Cross multiply
    142,009.88x = 306,161.44 × 306,161.44
  4. Step 4: Simplify right side
    142,009.88x = 93,734,825,812.07
  5. Step 5: Solve for x
    x = 93,734,825,812.07/142,009.88
  6. Step 6: Final answer
    x = 660,058.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.