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Finding the Third Proportional to 99,599 and 215,044

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Solution

The third proportional to 99,599 and 215,044 is: 464,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,599 : 215,044 = 215,044 : x
  2. Step 2: Convert to fraction form
    99,599/215,044 = 215,044/x
  3. Step 3: Cross multiply
    99,599x = 215,044 × 215,044
  4. Step 4: Simplify right side
    99,599x = 46,243,921,936
  5. Step 5: Solve for x
    x = 46,243,921,936/99,599
  6. Step 6: Final answer
    x = 464,301.07

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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.