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Finding the Third Proportional to 129,714.75 and 165,746.25

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Solution

The third proportional to 129,714.75 and 165,746.25 is: 211,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714.75 : 165,746.25 = 165,746.25 : x
  2. Step 2: Convert to fraction form
    129,714.75/165,746.25 = 165,746.25/x
  3. Step 3: Cross multiply
    129,714.75x = 165,746.25 × 165,746.25
  4. Step 4: Simplify right side
    129,714.75x = 27,471,819,389.06
  5. Step 5: Solve for x
    x = 27,471,819,389.06/129,714.75
  6. Step 6: Final answer
    x = 211,786.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.