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Finding the Third Proportional to 200,562 and 428,772

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Solution

The third proportional to 200,562 and 428,772 is: 916,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,562 : 428,772 = 428,772 : x
  2. Step 2: Convert to fraction form
    200,562/428,772 = 428,772/x
  3. Step 3: Cross multiply
    200,562x = 428,772 × 428,772
  4. Step 4: Simplify right side
    200,562x = 183,845,427,984
  5. Step 5: Solve for x
    x = 183,845,427,984/200,562
  6. Step 6: Final answer
    x = 916,651.35

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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.