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Finding the Third Proportional to 128,258 and 174,723

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Solution

The third proportional to 128,258 and 174,723 is: 238,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,258 : 174,723 = 174,723 : x
  2. Step 2: Convert to fraction form
    128,258/174,723 = 174,723/x
  3. Step 3: Cross multiply
    128,258x = 174,723 × 174,723
  4. Step 4: Simplify right side
    128,258x = 30,528,126,729
  5. Step 5: Solve for x
    x = 30,528,126,729/128,258
  6. Step 6: Final answer
    x = 238,021.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.