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Finding the Third Proportional to 281,388 and 616,138

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Solution

The third proportional to 281,388 and 616,138 is: 1,349,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,388 : 616,138 = 616,138 : x
  2. Step 2: Convert to fraction form
    281,388/616,138 = 616,138/x
  3. Step 3: Cross multiply
    281,388x = 616,138 × 616,138
  4. Step 4: Simplify right side
    281,388x = 379,626,035,044
  5. Step 5: Solve for x
    x = 379,626,035,044/281,388
  6. Step 6: Final answer
    x = 1,349,119.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.