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Finding the Third Proportional to 115,698 and 174,780

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Solution

The third proportional to 115,698 and 174,780 is: 264,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,698 : 174,780 = 174,780 : x
  2. Step 2: Convert to fraction form
    115,698/174,780 = 174,780/x
  3. Step 3: Cross multiply
    115,698x = 174,780 × 174,780
  4. Step 4: Simplify right side
    115,698x = 30,548,048,400
  5. Step 5: Solve for x
    x = 30,548,048,400/115,698
  6. Step 6: Final answer
    x = 264,032.64

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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.