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Finding the Third Proportional to 200,128 and 304,318

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Solution

The third proportional to 200,128 and 304,318 is: 462,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,128 : 304,318 = 304,318 : x
  2. Step 2: Convert to fraction form
    200,128/304,318 = 304,318/x
  3. Step 3: Cross multiply
    200,128x = 304,318 × 304,318
  4. Step 4: Simplify right side
    200,128x = 92,609,445,124
  5. Step 5: Solve for x
    x = 92,609,445,124/200,128
  6. Step 6: Final answer
    x = 462,751.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.