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Finding the Third Proportional to 128,416 and 275,948

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Solution

The third proportional to 128,416 and 275,948 is: 592,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416 : 275,948 = 275,948 : x
  2. Step 2: Convert to fraction form
    128,416/275,948 = 275,948/x
  3. Step 3: Cross multiply
    128,416x = 275,948 × 275,948
  4. Step 4: Simplify right side
    128,416x = 76,147,298,704
  5. Step 5: Solve for x
    x = 76,147,298,704/128,416
  6. Step 6: Final answer
    x = 592,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.