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Finding the Third Proportional to 129,398 and 197,553

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Solution

The third proportional to 129,398 and 197,553 is: 301,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,398 : 197,553 = 197,553 : x
  2. Step 2: Convert to fraction form
    129,398/197,553 = 197,553/x
  3. Step 3: Cross multiply
    129,398x = 197,553 × 197,553
  4. Step 4: Simplify right side
    129,398x = 39,027,187,809
  5. Step 5: Solve for x
    x = 39,027,187,809/129,398
  6. Step 6: Final answer
    x = 301,605.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.