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Finding the Third Proportional to 303,388 and 661,207

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Solution

The third proportional to 303,388 and 661,207 is: 1,441,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,388 : 661,207 = 661,207 : x
  2. Step 2: Convert to fraction form
    303,388/661,207 = 661,207/x
  3. Step 3: Cross multiply
    303,388x = 661,207 × 661,207
  4. Step 4: Simplify right side
    303,388x = 437,194,696,849
  5. Step 5: Solve for x
    x = 437,194,696,849/303,388
  6. Step 6: Final answer
    x = 1,441,041.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.