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Finding the Third Proportional to 162,918 and 340,725

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Solution

The third proportional to 162,918 and 340,725 is: 712,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,918 : 340,725 = 340,725 : x
  2. Step 2: Convert to fraction form
    162,918/340,725 = 340,725/x
  3. Step 3: Cross multiply
    162,918x = 340,725 × 340,725
  4. Step 4: Simplify right side
    162,918x = 116,093,525,625
  5. Step 5: Solve for x
    x = 116,093,525,625/162,918
  6. Step 6: Final answer
    x = 712,588.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.