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Finding the Third Proportional to 615,094 and 828,039

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Solution

The third proportional to 615,094 and 828,039 is: 1,114,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,094 : 828,039 = 828,039 : x
  2. Step 2: Convert to fraction form
    615,094/828,039 = 828,039/x
  3. Step 3: Cross multiply
    615,094x = 828,039 × 828,039
  4. Step 4: Simplify right side
    615,094x = 685,648,585,521
  5. Step 5: Solve for x
    x = 685,648,585,521/615,094
  6. Step 6: Final answer
    x = 1,114,705.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.