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Finding the Third Proportional to 157,984 and 347,984

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Solution

The third proportional to 157,984 and 347,984 is: 766,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,984 : 347,984 = 347,984 : x
  2. Step 2: Convert to fraction form
    157,984/347,984 = 347,984/x
  3. Step 3: Cross multiply
    157,984x = 347,984 × 347,984
  4. Step 4: Simplify right side
    157,984x = 121,092,864,256
  5. Step 5: Solve for x
    x = 121,092,864,256/157,984
  6. Step 6: Final answer
    x = 766,488.15

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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.