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Finding the Third Proportional to 164,845.13 and 257,109.19

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Solution

The third proportional to 164,845.13 and 257,109.19 is: 401,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 257,109.19 = 257,109.19 : x
  2. Step 2: Convert to fraction form
    164,845.13/257,109.19 = 257,109.19/x
  3. Step 3: Cross multiply
    164,845.13x = 257,109.19 × 257,109.19
  4. Step 4: Simplify right side
    164,845.13x = 66,105,134,296.91
  5. Step 5: Solve for x
    x = 66,105,134,296.91/164,845.13
  6. Step 6: Final answer
    x = 401,013.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.