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Finding the Third Proportional to 129,590 and 202,850

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Solution

The third proportional to 129,590 and 202,850 is: 317,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590 : 202,850 = 202,850 : x
  2. Step 2: Convert to fraction form
    129,590/202,850 = 202,850/x
  3. Step 3: Cross multiply
    129,590x = 202,850 × 202,850
  4. Step 4: Simplify right side
    129,590x = 41,148,122,500
  5. Step 5: Solve for x
    x = 41,148,122,500/129,590
  6. Step 6: Final answer
    x = 317,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.