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Finding the Third Proportional to 145,134 and 307,885

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Solution

The third proportional to 145,134 and 307,885 is: 653,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,134 : 307,885 = 307,885 : x
  2. Step 2: Convert to fraction form
    145,134/307,885 = 307,885/x
  3. Step 3: Cross multiply
    145,134x = 307,885 × 307,885
  4. Step 4: Simplify right side
    145,134x = 94,793,173,225
  5. Step 5: Solve for x
    x = 94,793,173,225/145,134
  6. Step 6: Final answer
    x = 653,142.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.