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Finding the Third Proportional to 85,835 and 115,504

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Solution

The third proportional to 85,835 and 115,504 is: 155,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,835 : 115,504 = 115,504 : x
  2. Step 2: Convert to fraction form
    85,835/115,504 = 115,504/x
  3. Step 3: Cross multiply
    85,835x = 115,504 × 115,504
  4. Step 4: Simplify right side
    85,835x = 13,341,174,016
  5. Step 5: Solve for x
    x = 13,341,174,016/85,835
  6. Step 6: Final answer
    x = 155,428.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.