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Finding the Third Proportional to 157,971 and 347,964

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Solution

The third proportional to 157,971 and 347,964 is: 766,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,971 : 347,964 = 347,964 : x
  2. Step 2: Convert to fraction form
    157,971/347,964 = 347,964/x
  3. Step 3: Cross multiply
    157,971x = 347,964 × 347,964
  4. Step 4: Simplify right side
    157,971x = 121,078,945,296
  5. Step 5: Solve for x
    x = 121,078,945,296/157,971
  6. Step 6: Final answer
    x = 766,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.