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Finding the Third Proportional to 196,128 and 430,272

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Solution

The third proportional to 196,128 and 430,272 is: 943,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,128 : 430,272 = 430,272 : x
  2. Step 2: Convert to fraction form
    196,128/430,272 = 430,272/x
  3. Step 3: Cross multiply
    196,128x = 430,272 × 430,272
  4. Step 4: Simplify right side
    196,128x = 185,133,993,984
  5. Step 5: Solve for x
    x = 185,133,993,984/196,128
  6. Step 6: Final answer
    x = 943,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.