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Finding the Third Proportional to 161,512 and 340,664

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Solution

The third proportional to 161,512 and 340,664 is: 718,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,512 : 340,664 = 340,664 : x
  2. Step 2: Convert to fraction form
    161,512/340,664 = 340,664/x
  3. Step 3: Cross multiply
    161,512x = 340,664 × 340,664
  4. Step 4: Simplify right side
    161,512x = 116,051,960,896
  5. Step 5: Solve for x
    x = 116,051,960,896/161,512
  6. Step 6: Final answer
    x = 718,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.