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Finding the Third Proportional to 515,212 and 1,101,327.50

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Solution

The third proportional to 515,212 and 1,101,327.50 is: 2,354,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,212 : 1,101,327.50 = 1,101,327.50 : x
  2. Step 2: Convert to fraction form
    515,212/1,101,327.50 = 1,101,327.50/x
  3. Step 3: Cross multiply
    515,212x = 1,101,327.50 × 1,101,327.50
  4. Step 4: Simplify right side
    515,212x = 1,212,922,262,256.25
  5. Step 5: Solve for x
    x = 1,212,922,262,256.25/515,212
  6. Step 6: Final answer
    x = 2,354,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.