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Finding the Third Proportional to 147,969.56 and 320,838.19

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Solution

The third proportional to 147,969.56 and 320,838.19 is: 695,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969.56 : 320,838.19 = 320,838.19 : x
  2. Step 2: Convert to fraction form
    147,969.56/320,838.19 = 320,838.19/x
  3. Step 3: Cross multiply
    147,969.56x = 320,838.19 × 320,838.19
  4. Step 4: Simplify right side
    147,969.56x = 102,937,142,558.29
  5. Step 5: Solve for x
    x = 102,937,142,558.29/147,969.56
  6. Step 6: Final answer
    x = 695,664.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.