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Finding the Third Proportional to 615,093.75 and 828,038.25

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Solution

The third proportional to 615,093.75 and 828,038.25 is: 1,114,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,093.75 : 828,038.25 = 828,038.25 : x
  2. Step 2: Convert to fraction form
    615,093.75/828,038.25 = 828,038.25/x
  3. Step 3: Cross multiply
    615,093.75x = 828,038.25 × 828,038.25
  4. Step 4: Simplify right side
    615,093.75x = 685,647,343,463.06
  5. Step 5: Solve for x
    x = 685,647,343,463.06/615,093.75
  6. Step 6: Final answer
    x = 1,114,703.80

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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.