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Finding the Third Proportional to 155,318 and 245,491

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Solution

The third proportional to 155,318 and 245,491 is: 388,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,318 : 245,491 = 245,491 : x
  2. Step 2: Convert to fraction form
    155,318/245,491 = 245,491/x
  3. Step 3: Cross multiply
    155,318x = 245,491 × 245,491
  4. Step 4: Simplify right side
    155,318x = 60,265,831,081
  5. Step 5: Solve for x
    x = 60,265,831,081/155,318
  6. Step 6: Final answer
    x = 388,015.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.