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Finding the Third Proportional to 155,430 and 338,964

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Solution

The third proportional to 155,430 and 338,964 is: 739,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,430 : 338,964 = 338,964 : x
  2. Step 2: Convert to fraction form
    155,430/338,964 = 338,964/x
  3. Step 3: Cross multiply
    155,430x = 338,964 × 338,964
  4. Step 4: Simplify right side
    155,430x = 114,896,593,296
  5. Step 5: Solve for x
    x = 114,896,593,296/155,430
  6. Step 6: Final answer
    x = 739,217.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.