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Finding the Third Proportional to 401,010 and 862,284

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Solution

The third proportional to 401,010 and 862,284 is: 1,854,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,010 : 862,284 = 862,284 : x
  2. Step 2: Convert to fraction form
    401,010/862,284 = 862,284/x
  3. Step 3: Cross multiply
    401,010x = 862,284 × 862,284
  4. Step 4: Simplify right side
    401,010x = 743,533,696,656
  5. Step 5: Solve for x
    x = 743,533,696,656/401,010
  6. Step 6: Final answer
    x = 1,854,152.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.