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Finding the Third Proportional to 164,487 and 340,638

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Solution

The third proportional to 164,487 and 340,638 is: 705,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,487 : 340,638 = 340,638 : x
  2. Step 2: Convert to fraction form
    164,487/340,638 = 340,638/x
  3. Step 3: Cross multiply
    164,487x = 340,638 × 340,638
  4. Step 4: Simplify right side
    164,487x = 116,034,247,044
  5. Step 5: Solve for x
    x = 116,034,247,044/164,487
  6. Step 6: Final answer
    x = 705,431.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.