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Finding the Third Proportional to 286,268 and 420,650

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Solution

The third proportional to 286,268 and 420,650 is: 618,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,268 : 420,650 = 420,650 : x
  2. Step 2: Convert to fraction form
    286,268/420,650 = 420,650/x
  3. Step 3: Cross multiply
    286,268x = 420,650 × 420,650
  4. Step 4: Simplify right side
    286,268x = 176,946,422,500
  5. Step 5: Solve for x
    x = 176,946,422,500/286,268
  6. Step 6: Final answer
    x = 618,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.