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Finding the Third Proportional to 131,454 and 200,430

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Solution

The third proportional to 131,454 and 200,430 is: 305,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,454 : 200,430 = 200,430 : x
  2. Step 2: Convert to fraction form
    131,454/200,430 = 200,430/x
  3. Step 3: Cross multiply
    131,454x = 200,430 × 200,430
  4. Step 4: Simplify right side
    131,454x = 40,172,184,900
  5. Step 5: Solve for x
    x = 40,172,184,900/131,454
  6. Step 6: Final answer
    x = 305,598.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.