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Finding the Third Proportional to 134,860 and 295,640

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Solution

The third proportional to 134,860 and 295,640 is: 648,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,860 : 295,640 = 295,640 : x
  2. Step 2: Convert to fraction form
    134,860/295,640 = 295,640/x
  3. Step 3: Cross multiply
    134,860x = 295,640 × 295,640
  4. Step 4: Simplify right side
    134,860x = 87,403,009,600
  5. Step 5: Solve for x
    x = 87,403,009,600/134,860
  6. Step 6: Final answer
    x = 648,101.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.