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Finding the Third Proportional to 70,943 and 155,205

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Solution

The third proportional to 70,943 and 155,205 is: 339,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,943 : 155,205 = 155,205 : x
  2. Step 2: Convert to fraction form
    70,943/155,205 = 155,205/x
  3. Step 3: Cross multiply
    70,943x = 155,205 × 155,205
  4. Step 4: Simplify right side
    70,943x = 24,088,592,025
  5. Step 5: Solve for x
    x = 24,088,592,025/70,943
  6. Step 6: Final answer
    x = 339,548.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.