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Finding the Third Proportional to 308,346 and 665,535

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Solution

The third proportional to 308,346 and 665,535 is: 1,436,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,346 : 665,535 = 665,535 : x
  2. Step 2: Convert to fraction form
    308,346/665,535 = 665,535/x
  3. Step 3: Cross multiply
    308,346x = 665,535 × 665,535
  4. Step 4: Simplify right side
    308,346x = 442,936,836,225
  5. Step 5: Solve for x
    x = 442,936,836,225/308,346
  6. Step 6: Final answer
    x = 1,436,492.89

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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.