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Finding the Third Proportional to 200,564 and 428,776

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Solution

The third proportional to 200,564 and 428,776 is: 916,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564 : 428,776 = 428,776 : x
  2. Step 2: Convert to fraction form
    200,564/428,776 = 428,776/x
  3. Step 3: Cross multiply
    200,564x = 428,776 × 428,776
  4. Step 4: Simplify right side
    200,564x = 183,848,858,176
  5. Step 5: Solve for x
    x = 183,848,858,176/200,564
  6. Step 6: Final answer
    x = 916,659.31

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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.