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Finding the Third Proportional to 142,094.25 and 312,209.44

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Solution

The third proportional to 142,094.25 and 312,209.44 is: 685,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,094.25 : 312,209.44 = 312,209.44 : x
  2. Step 2: Convert to fraction form
    142,094.25/312,209.44 = 312,209.44/x
  3. Step 3: Cross multiply
    142,094.25x = 312,209.44 × 312,209.44
  4. Step 4: Simplify right side
    142,094.25x = 97,474,732,864.07
  5. Step 5: Solve for x
    x = 97,474,732,864.07/142,094.25
  6. Step 6: Final answer
    x = 685,986.47

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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.