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Finding the Third Proportional to 142,853.63 and 313,728.19

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Solution

The third proportional to 142,853.63 and 313,728.19 is: 688,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,853.63 : 313,728.19 = 313,728.19 : x
  2. Step 2: Convert to fraction form
    142,853.63/313,728.19 = 313,728.19/x
  3. Step 3: Cross multiply
    142,853.63x = 313,728.19 × 313,728.19
  4. Step 4: Simplify right side
    142,853.63x = 98,425,375,632.04
  5. Step 5: Solve for x
    x = 98,425,375,632.04/142,853.63
  6. Step 6: Final answer
    x = 688,994.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.