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Finding the Third Proportional to 197,507 and 437,720

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Solution

The third proportional to 197,507 and 437,720 is: 970,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,507 : 437,720 = 437,720 : x
  2. Step 2: Convert to fraction form
    197,507/437,720 = 437,720/x
  3. Step 3: Cross multiply
    197,507x = 437,720 × 437,720
  4. Step 4: Simplify right side
    197,507x = 191,598,798,400
  5. Step 5: Solve for x
    x = 191,598,798,400/197,507
  6. Step 6: Final answer
    x = 970,086.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.