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Finding the Third Proportional to 128,630 and 275,719

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Solution

The third proportional to 128,630 and 275,719 is: 591,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,630 : 275,719 = 275,719 : x
  2. Step 2: Convert to fraction form
    128,630/275,719 = 275,719/x
  3. Step 3: Cross multiply
    128,630x = 275,719 × 275,719
  4. Step 4: Simplify right side
    128,630x = 76,020,966,961
  5. Step 5: Solve for x
    x = 76,020,966,961/128,630
  6. Step 6: Final answer
    x = 591,004.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.