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Finding the Third Proportional to 281,346 and 610,752

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Solution

The third proportional to 281,346 and 610,752 is: 1,325,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,346 : 610,752 = 610,752 : x
  2. Step 2: Convert to fraction form
    281,346/610,752 = 610,752/x
  3. Step 3: Cross multiply
    281,346x = 610,752 × 610,752
  4. Step 4: Simplify right side
    281,346x = 373,018,005,504
  5. Step 5: Solve for x
    x = 373,018,005,504/281,346
  6. Step 6: Final answer
    x = 1,325,833.69

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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.