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Finding the Third Proportional to 142,851.75 and 307,202.25

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Solution

The third proportional to 142,851.75 and 307,202.25 is: 660,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.75 : 307,202.25 = 307,202.25 : x
  2. Step 2: Convert to fraction form
    142,851.75/307,202.25 = 307,202.25/x
  3. Step 3: Cross multiply
    142,851.75x = 307,202.25 × 307,202.25
  4. Step 4: Simplify right side
    142,851.75x = 94,373,222,405.06
  5. Step 5: Solve for x
    x = 94,373,222,405.06/142,851.75
  6. Step 6: Final answer
    x = 660,637.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.