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Finding the Third Proportional to 155,606 and 340,515

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Solution

The third proportional to 155,606 and 340,515 is: 745,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,606 : 340,515 = 340,515 : x
  2. Step 2: Convert to fraction form
    155,606/340,515 = 340,515/x
  3. Step 3: Cross multiply
    155,606x = 340,515 × 340,515
  4. Step 4: Simplify right side
    155,606x = 115,950,465,225
  5. Step 5: Solve for x
    x = 115,950,465,225/155,606
  6. Step 6: Final answer
    x = 745,154.21

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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.