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Finding the Third Proportional to 198,544 and 432,072

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Solution

The third proportional to 198,544 and 432,072 is: 940,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,544 : 432,072 = 432,072 : x
  2. Step 2: Convert to fraction form
    198,544/432,072 = 432,072/x
  3. Step 3: Cross multiply
    198,544x = 432,072 × 432,072
  4. Step 4: Simplify right side
    198,544x = 186,686,213,184
  5. Step 5: Solve for x
    x = 186,686,213,184/198,544
  6. Step 6: Final answer
    x = 940,276.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.