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Finding the Third Proportional to 200,128.78 and 428,859.42

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Solution

The third proportional to 200,128.78 and 428,859.42 is: 919,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,128.78 : 428,859.42 = 428,859.42 : x
  2. Step 2: Convert to fraction form
    200,128.78/428,859.42 = 428,859.42/x
  3. Step 3: Cross multiply
    200,128.78x = 428,859.42 × 428,859.42
  4. Step 4: Simplify right side
    200,128.78x = 183,920,403,730.96
  5. Step 5: Solve for x
    x = 183,920,403,730.96/200,128.78
  6. Step 6: Final answer
    x = 919,010.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.