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Finding the Third Proportional to 145,212.19 and 312,670.69

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Solution

The third proportional to 145,212.19 and 312,670.69 is: 673,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.19 : 312,670.69 = 312,670.69 : x
  2. Step 2: Convert to fraction form
    145,212.19/312,670.69 = 312,670.69/x
  3. Step 3: Cross multiply
    145,212.19x = 312,670.69 × 312,670.69
  4. Step 4: Simplify right side
    145,212.19x = 97,762,958,821.72
  5. Step 5: Solve for x
    x = 97,762,958,821.72/145,212.19
  6. Step 6: Final answer
    x = 673,242.11

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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.