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Finding the Third Proportional to 85,698 and 130,005

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Solution

The third proportional to 85,698 and 130,005 is: 197,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 130,005 = 130,005 : x
  2. Step 2: Convert to fraction form
    85,698/130,005 = 130,005/x
  3. Step 3: Cross multiply
    85,698x = 130,005 × 130,005
  4. Step 4: Simplify right side
    85,698x = 16,901,300,025
  5. Step 5: Solve for x
    x = 16,901,300,025/85,698
  6. Step 6: Final answer
    x = 197,219.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.