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Finding the Third Proportional to 146,621.81 and 319,487.63

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Solution

The third proportional to 146,621.81 and 319,487.63 is: 696,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,621.81 : 319,487.63 = 319,487.63 : x
  2. Step 2: Convert to fraction form
    146,621.81/319,487.63 = 319,487.63/x
  3. Step 3: Cross multiply
    146,621.81x = 319,487.63 × 319,487.63
  4. Step 4: Simplify right side
    146,621.81x = 102,072,342,528.14
  5. Step 5: Solve for x
    x = 102,072,342,528.14/146,621.81
  6. Step 6: Final answer
    x = 696,160.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.