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Finding the Third Proportional to 197,650 and 291,255

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Solution

The third proportional to 197,650 and 291,255 is: 429,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,650 : 291,255 = 291,255 : x
  2. Step 2: Convert to fraction form
    197,650/291,255 = 291,255/x
  3. Step 3: Cross multiply
    197,650x = 291,255 × 291,255
  4. Step 4: Simplify right side
    197,650x = 84,829,475,025
  5. Step 5: Solve for x
    x = 84,829,475,025/197,650
  6. Step 6: Final answer
    x = 429,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.