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Finding the Third Proportional to 142,643.25 and 301,203.75

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Solution

The third proportional to 142,643.25 and 301,203.75 is: 636,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643.25 : 301,203.75 = 301,203.75 : x
  2. Step 2: Convert to fraction form
    142,643.25/301,203.75 = 301,203.75/x
  3. Step 3: Cross multiply
    142,643.25x = 301,203.75 × 301,203.75
  4. Step 4: Simplify right side
    142,643.25x = 90,723,699,014.06
  5. Step 5: Solve for x
    x = 90,723,699,014.06/142,643.25
  6. Step 6: Final answer
    x = 636,018.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.