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Finding the Third Proportional to 155,385 and 340,299

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Solution

The third proportional to 155,385 and 340,299 is: 745,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,385 : 340,299 = 340,299 : x
  2. Step 2: Convert to fraction form
    155,385/340,299 = 340,299/x
  3. Step 3: Cross multiply
    155,385x = 340,299 × 340,299
  4. Step 4: Simplify right side
    155,385x = 115,803,409,401
  5. Step 5: Solve for x
    x = 115,803,409,401/155,385
  6. Step 6: Final answer
    x = 745,267.62

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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.