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Finding the Third Proportional to 403,380 and 859,752

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Solution

The third proportional to 403,380 and 859,752 is: 1,832,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,380 : 859,752 = 859,752 : x
  2. Step 2: Convert to fraction form
    403,380/859,752 = 859,752/x
  3. Step 3: Cross multiply
    403,380x = 859,752 × 859,752
  4. Step 4: Simplify right side
    403,380x = 739,173,501,504
  5. Step 5: Solve for x
    x = 739,173,501,504/403,380
  6. Step 6: Final answer
    x = 1,832,449.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.