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Finding the Third Proportional to 281,235 and 624,678

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Solution

The third proportional to 281,235 and 624,678 is: 1,387,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,235 : 624,678 = 624,678 : x
  2. Step 2: Convert to fraction form
    281,235/624,678 = 624,678/x
  3. Step 3: Cross multiply
    281,235x = 624,678 × 624,678
  4. Step 4: Simplify right side
    281,235x = 390,222,603,684
  5. Step 5: Solve for x
    x = 390,222,603,684/281,235
  6. Step 6: Final answer
    x = 1,387,532.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.