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Finding the Third Proportional to 142,738.88 and 310,074.75

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Solution

The third proportional to 142,738.88 and 310,074.75 is: 673,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738.88 : 310,074.75 = 310,074.75 : x
  2. Step 2: Convert to fraction form
    142,738.88/310,074.75 = 310,074.75/x
  3. Step 3: Cross multiply
    142,738.88x = 310,074.75 × 310,074.75
  4. Step 4: Simplify right side
    142,738.88x = 96,146,350,587.56
  5. Step 5: Solve for x
    x = 96,146,350,587.56/142,738.88
  6. Step 6: Final answer
    x = 673,582.10

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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.