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Finding the Third Proportional to 129,070 and 193,657

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Solution

The third proportional to 129,070 and 193,657 is: 290,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,070 : 193,657 = 193,657 : x
  2. Step 2: Convert to fraction form
    129,070/193,657 = 193,657/x
  3. Step 3: Cross multiply
    129,070x = 193,657 × 193,657
  4. Step 4: Simplify right side
    129,070x = 37,503,033,649
  5. Step 5: Solve for x
    x = 37,503,033,649/129,070
  6. Step 6: Final answer
    x = 290,563.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.