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Finding the Third Proportional to 135,107 and 312,779

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Solution

The third proportional to 135,107 and 312,779 is: 724,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,107 : 312,779 = 312,779 : x
  2. Step 2: Convert to fraction form
    135,107/312,779 = 312,779/x
  3. Step 3: Cross multiply
    135,107x = 312,779 × 312,779
  4. Step 4: Simplify right side
    135,107x = 97,830,702,841
  5. Step 5: Solve for x
    x = 97,830,702,841/135,107
  6. Step 6: Final answer
    x = 724,097.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.