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Finding the Third Proportional to 70,853 and 149,703

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Solution

The third proportional to 70,853 and 149,703 is: 316,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853 : 149,703 = 149,703 : x
  2. Step 2: Convert to fraction form
    70,853/149,703 = 149,703/x
  3. Step 3: Cross multiply
    70,853x = 149,703 × 149,703
  4. Step 4: Simplify right side
    70,853x = 22,410,988,209
  5. Step 5: Solve for x
    x = 22,410,988,209/70,853
  6. Step 6: Final answer
    x = 316,302.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.