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Finding the Third Proportional to 161,490 and 350,970

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Solution

The third proportional to 161,490 and 350,970 is: 762,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,490 : 350,970 = 350,970 : x
  2. Step 2: Convert to fraction form
    161,490/350,970 = 350,970/x
  3. Step 3: Cross multiply
    161,490x = 350,970 × 350,970
  4. Step 4: Simplify right side
    161,490x = 123,179,940,900
  5. Step 5: Solve for x
    x = 123,179,940,900/161,490
  6. Step 6: Final answer
    x = 762,771.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.