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Finding the Third Proportional to 99,725 and 215,306

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Solution

The third proportional to 99,725 and 215,306 is: 464,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,725 : 215,306 = 215,306 : x
  2. Step 2: Convert to fraction form
    99,725/215,306 = 215,306/x
  3. Step 3: Cross multiply
    99,725x = 215,306 × 215,306
  4. Step 4: Simplify right side
    99,725x = 46,356,673,636
  5. Step 5: Solve for x
    x = 46,356,673,636/99,725
  6. Step 6: Final answer
    x = 464,845.06

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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.