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Finding the Third Proportional to 129,319 and 201,835

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Solution

The third proportional to 129,319 and 201,835 is: 315,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,319 : 201,835 = 201,835 : x
  2. Step 2: Convert to fraction form
    129,319/201,835 = 201,835/x
  3. Step 3: Cross multiply
    129,319x = 201,835 × 201,835
  4. Step 4: Simplify right side
    129,319x = 40,737,367,225
  5. Step 5: Solve for x
    x = 40,737,367,225/129,319
  6. Step 6: Final answer
    x = 315,014.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.