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Finding the Third Proportional to 155,714 and 340,508

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Solution

The third proportional to 155,714 and 340,508 is: 744,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,714 : 340,508 = 340,508 : x
  2. Step 2: Convert to fraction form
    155,714/340,508 = 340,508/x
  3. Step 3: Cross multiply
    155,714x = 340,508 × 340,508
  4. Step 4: Simplify right side
    155,714x = 115,945,698,064
  5. Step 5: Solve for x
    x = 115,945,698,064/155,714
  6. Step 6: Final answer
    x = 744,606.77

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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.