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Finding the Third Proportional to 200,560 and 428,768

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Solution

The third proportional to 200,560 and 428,768 is: 916,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,560 : 428,768 = 428,768 : x
  2. Step 2: Convert to fraction form
    200,560/428,768 = 428,768/x
  3. Step 3: Cross multiply
    200,560x = 428,768 × 428,768
  4. Step 4: Simplify right side
    200,560x = 183,841,997,824
  5. Step 5: Solve for x
    x = 183,841,997,824/200,560
  6. Step 6: Final answer
    x = 916,643.39

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Why These Related Problems?

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