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Finding the Third Proportional to 145,212.75 and 312,670.13

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Solution

The third proportional to 145,212.75 and 312,670.13 is: 673,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.75 : 312,670.13 = 312,670.13 : x
  2. Step 2: Convert to fraction form
    145,212.75/312,670.13 = 312,670.13/x
  3. Step 3: Cross multiply
    145,212.75x = 312,670.13 × 312,670.13
  4. Step 4: Simplify right side
    145,212.75x = 97,762,607,067.52
  5. Step 5: Solve for x
    x = 97,762,607,067.52/145,212.75
  6. Step 6: Final answer
    x = 673,237.08

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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.