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Finding the Third Proportional to 79,308 and 107,658

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Solution

The third proportional to 79,308 and 107,658 is: 146,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,308 : 107,658 = 107,658 : x
  2. Step 2: Convert to fraction form
    79,308/107,658 = 107,658/x
  3. Step 3: Cross multiply
    79,308x = 107,658 × 107,658
  4. Step 4: Simplify right side
    79,308x = 11,590,244,964
  5. Step 5: Solve for x
    x = 11,590,244,964/79,308
  6. Step 6: Final answer
    x = 146,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.