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Finding the Third Proportional to 135,045 and 286,737

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Solution

The third proportional to 135,045 and 286,737 is: 608,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,045 : 286,737 = 286,737 : x
  2. Step 2: Convert to fraction form
    135,045/286,737 = 286,737/x
  3. Step 3: Cross multiply
    135,045x = 286,737 × 286,737
  4. Step 4: Simplify right side
    135,045x = 82,218,107,169
  5. Step 5: Solve for x
    x = 82,218,107,169/135,045
  6. Step 6: Final answer
    x = 608,820.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.