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Finding the Third Proportional to 353,207 and 762,985

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Solution

The third proportional to 353,207 and 762,985 is: 1,648,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,207 : 762,985 = 762,985 : x
  2. Step 2: Convert to fraction form
    353,207/762,985 = 762,985/x
  3. Step 3: Cross multiply
    353,207x = 762,985 × 762,985
  4. Step 4: Simplify right side
    353,207x = 582,146,110,225
  5. Step 5: Solve for x
    x = 582,146,110,225/353,207
  6. Step 6: Final answer
    x = 1,648,172.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.