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Finding the Third Proportional to 286,104 and 615,840

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Solution

The third proportional to 286,104 and 615,840 is: 1,325,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,104 : 615,840 = 615,840 : x
  2. Step 2: Convert to fraction form
    286,104/615,840 = 615,840/x
  3. Step 3: Cross multiply
    286,104x = 615,840 × 615,840
  4. Step 4: Simplify right side
    286,104x = 379,258,905,600
  5. Step 5: Solve for x
    x = 379,258,905,600/286,104
  6. Step 6: Final answer
    x = 1,325,598.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.