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Finding the Third Proportional to 197,556 and 428,664

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Solution

The third proportional to 197,556 and 428,664 is: 930,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,556 : 428,664 = 428,664 : x
  2. Step 2: Convert to fraction form
    197,556/428,664 = 428,664/x
  3. Step 3: Cross multiply
    197,556x = 428,664 × 428,664
  4. Step 4: Simplify right side
    197,556x = 183,752,824,896
  5. Step 5: Solve for x
    x = 183,752,824,896/197,556
  6. Step 6: Final answer
    x = 930,130.32

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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.