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Finding the Third Proportional to 289,388 and 626,890

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Solution

The third proportional to 289,388 and 626,890 is: 1,358,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,388 : 626,890 = 626,890 : x
  2. Step 2: Convert to fraction form
    289,388/626,890 = 626,890/x
  3. Step 3: Cross multiply
    289,388x = 626,890 × 626,890
  4. Step 4: Simplify right side
    289,388x = 392,991,072,100
  5. Step 5: Solve for x
    x = 392,991,072,100/289,388
  6. Step 6: Final answer
    x = 1,358,007.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.