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Finding the Third Proportional to 251,774.58 and 515,181.52

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Solution

The third proportional to 251,774.58 and 515,181.52 is: 1,054,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,774.58 : 515,181.52 = 515,181.52 : x
  2. Step 2: Convert to fraction form
    251,774.58/515,181.52 = 515,181.52/x
  3. Step 3: Cross multiply
    251,774.58x = 515,181.52 × 515,181.52
  4. Step 4: Simplify right side
    251,774.58x = 265,411,994,041.67
  5. Step 5: Solve for x
    x = 265,411,994,041.67/251,774.58
  6. Step 6: Final answer
    x = 1,054,165.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.