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Finding the Third Proportional to 141,430 and 305,000

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Solution

The third proportional to 141,430 and 305,000 is: 657,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,430 : 305,000 = 305,000 : x
  2. Step 2: Convert to fraction form
    141,430/305,000 = 305,000/x
  3. Step 3: Cross multiply
    141,430x = 305,000 × 305,000
  4. Step 4: Simplify right side
    141,430x = 93,025,000,000
  5. Step 5: Solve for x
    x = 93,025,000,000/141,430
  6. Step 6: Final answer
    x = 657,745.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.