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Finding the Third Proportional to 85,623 and 136,365

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Solution

The third proportional to 85,623 and 136,365 is: 217,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,623 : 136,365 = 136,365 : x
  2. Step 2: Convert to fraction form
    85,623/136,365 = 136,365/x
  3. Step 3: Cross multiply
    85,623x = 136,365 × 136,365
  4. Step 4: Simplify right side
    85,623x = 18,595,413,225
  5. Step 5: Solve for x
    x = 18,595,413,225/85,623
  6. Step 6: Final answer
    x = 217,177.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.