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Finding the Third Proportional to 115,688 and 174,989

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Solution

The third proportional to 115,688 and 174,989 is: 264,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,688 : 174,989 = 174,989 : x
  2. Step 2: Convert to fraction form
    115,688/174,989 = 174,989/x
  3. Step 3: Cross multiply
    115,688x = 174,989 × 174,989
  4. Step 4: Simplify right side
    115,688x = 30,621,150,121
  5. Step 5: Solve for x
    x = 30,621,150,121/115,688
  6. Step 6: Final answer
    x = 264,687.35

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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.