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Finding the Third Proportional to 159,780 and 348,159

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Solution

The third proportional to 159,780 and 348,159 is: 758,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,780 : 348,159 = 348,159 : x
  2. Step 2: Convert to fraction form
    159,780/348,159 = 348,159/x
  3. Step 3: Cross multiply
    159,780x = 348,159 × 348,159
  4. Step 4: Simplify right side
    159,780x = 121,214,689,281
  5. Step 5: Solve for x
    x = 121,214,689,281/159,780
  6. Step 6: Final answer
    x = 758,634.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.