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Finding the Third Proportional to 103,123.13 and 164,090.81

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Solution

The third proportional to 103,123.13 and 164,090.81 is: 261,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,123.13 : 164,090.81 = 164,090.81 : x
  2. Step 2: Convert to fraction form
    103,123.13/164,090.81 = 164,090.81/x
  3. Step 3: Cross multiply
    103,123.13x = 164,090.81 × 164,090.81
  4. Step 4: Simplify right side
    103,123.13x = 26,925,794,746.91
  5. Step 5: Solve for x
    x = 26,925,794,746.91/103,123.13
  6. Step 6: Final answer
    x = 261,103.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.