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Finding the Third Proportional to 310,516 and 665,299

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Solution

The third proportional to 310,516 and 665,299 is: 1,425,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,516 : 665,299 = 665,299 : x
  2. Step 2: Convert to fraction form
    310,516/665,299 = 665,299/x
  3. Step 3: Cross multiply
    310,516x = 665,299 × 665,299
  4. Step 4: Simplify right side
    310,516x = 442,622,759,401
  5. Step 5: Solve for x
    x = 442,622,759,401/310,516
  6. Step 6: Final answer
    x = 1,425,442.68

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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.