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Finding the Third Proportional to 815,148 and 1,918,009

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Solution

The third proportional to 815,148 and 1,918,009 is: 4,512,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,148 : 1,918,009 = 1,918,009 : x
  2. Step 2: Convert to fraction form
    815,148/1,918,009 = 1,918,009/x
  3. Step 3: Cross multiply
    815,148x = 1,918,009 × 1,918,009
  4. Step 4: Simplify right side
    815,148x = 3,678,758,524,081
  5. Step 5: Solve for x
    x = 3,678,758,524,081/815,148
  6. Step 6: Final answer
    x = 4,512,994.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.