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Finding the Third Proportional to 159,158 and 345,440

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Solution

The third proportional to 159,158 and 345,440 is: 749,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,158 : 345,440 = 345,440 : x
  2. Step 2: Convert to fraction form
    159,158/345,440 = 345,440/x
  3. Step 3: Cross multiply
    159,158x = 345,440 × 345,440
  4. Step 4: Simplify right side
    159,158x = 119,328,793,600
  5. Step 5: Solve for x
    x = 119,328,793,600/159,158
  6. Step 6: Final answer
    x = 749,750.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.