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Finding the Third Proportional to 276,840 and 586,485

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Solution

The third proportional to 276,840 and 586,485 is: 1,242,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840 : 586,485 = 586,485 : x
  2. Step 2: Convert to fraction form
    276,840/586,485 = 586,485/x
  3. Step 3: Cross multiply
    276,840x = 586,485 × 586,485
  4. Step 4: Simplify right side
    276,840x = 343,964,655,225
  5. Step 5: Solve for x
    x = 343,964,655,225/276,840
  6. Step 6: Final answer
    x = 1,242,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.