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Finding the Third Proportional to 85,798 and 130,447

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Solution

The third proportional to 85,798 and 130,447 is: 198,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,798 : 130,447 = 130,447 : x
  2. Step 2: Convert to fraction form
    85,798/130,447 = 130,447/x
  3. Step 3: Cross multiply
    85,798x = 130,447 × 130,447
  4. Step 4: Simplify right side
    85,798x = 17,016,419,809
  5. Step 5: Solve for x
    x = 17,016,419,809/85,798
  6. Step 6: Final answer
    x = 198,331.19

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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.