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Finding the Third Proportional to 304,371 and 649,485

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Solution

The third proportional to 304,371 and 649,485 is: 1,385,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,371 : 649,485 = 649,485 : x
  2. Step 2: Convert to fraction form
    304,371/649,485 = 649,485/x
  3. Step 3: Cross multiply
    304,371x = 649,485 × 649,485
  4. Step 4: Simplify right side
    304,371x = 421,830,765,225
  5. Step 5: Solve for x
    x = 421,830,765,225/304,371
  6. Step 6: Final answer
    x = 1,385,909.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.