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Finding the Third Proportional to 252,640 and 540,286

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Solution

The third proportional to 252,640 and 540,286 is: 1,155,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,640 : 540,286 = 540,286 : x
  2. Step 2: Convert to fraction form
    252,640/540,286 = 540,286/x
  3. Step 3: Cross multiply
    252,640x = 540,286 × 540,286
  4. Step 4: Simplify right side
    252,640x = 291,908,961,796
  5. Step 5: Solve for x
    x = 291,908,961,796/252,640
  6. Step 6: Final answer
    x = 1,155,434.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.