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Finding the Third Proportional to 145,169.72 and 312,585.33

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Solution

The third proportional to 145,169.72 and 312,585.33 is: 673,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,169.72 : 312,585.33 = 312,585.33 : x
  2. Step 2: Convert to fraction form
    145,169.72/312,585.33 = 312,585.33/x
  3. Step 3: Cross multiply
    145,169.72x = 312,585.33 × 312,585.33
  4. Step 4: Simplify right side
    145,169.72x = 97,709,587,359.01
  5. Step 5: Solve for x
    x = 97,709,587,359.01/145,169.72
  6. Step 6: Final answer
    x = 673,071.41

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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.