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Finding the Third Proportional to 130,034 and 200,451

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Solution

The third proportional to 130,034 and 200,451 is: 309,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,034 : 200,451 = 200,451 : x
  2. Step 2: Convert to fraction form
    130,034/200,451 = 200,451/x
  3. Step 3: Cross multiply
    130,034x = 200,451 × 200,451
  4. Step 4: Simplify right side
    130,034x = 40,180,603,401
  5. Step 5: Solve for x
    x = 40,180,603,401/130,034
  6. Step 6: Final answer
    x = 309,000.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.