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Finding the Third Proportional to 415,856 and 643,656

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Solution

The third proportional to 415,856 and 643,656 is: 996,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,856 : 643,656 = 643,656 : x
  2. Step 2: Convert to fraction form
    415,856/643,656 = 643,656/x
  3. Step 3: Cross multiply
    415,856x = 643,656 × 643,656
  4. Step 4: Simplify right side
    415,856x = 414,293,046,336
  5. Step 5: Solve for x
    x = 414,293,046,336/415,856
  6. Step 6: Final answer
    x = 996,241.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.