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Finding the Third Proportional to 115,388 and 174,620

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Solution

The third proportional to 115,388 and 174,620 is: 264,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,388 : 174,620 = 174,620 : x
  2. Step 2: Convert to fraction form
    115,388/174,620 = 174,620/x
  3. Step 3: Cross multiply
    115,388x = 174,620 × 174,620
  4. Step 4: Simplify right side
    115,388x = 30,492,144,400
  5. Step 5: Solve for x
    x = 30,492,144,400/115,388
  6. Step 6: Final answer
    x = 264,257.50

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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.