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Finding the Third Proportional to 115,681 and 174,980

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Solution

The third proportional to 115,681 and 174,980 is: 264,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,681 : 174,980 = 174,980 : x
  2. Step 2: Convert to fraction form
    115,681/174,980 = 174,980/x
  3. Step 3: Cross multiply
    115,681x = 174,980 × 174,980
  4. Step 4: Simplify right side
    115,681x = 30,618,000,400
  5. Step 5: Solve for x
    x = 30,618,000,400/115,681
  6. Step 6: Final answer
    x = 264,676.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.