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Finding the Third Proportional to 253,463 and 354,360

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Solution

The third proportional to 253,463 and 354,360 is: 495,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,463 : 354,360 = 354,360 : x
  2. Step 2: Convert to fraction form
    253,463/354,360 = 354,360/x
  3. Step 3: Cross multiply
    253,463x = 354,360 × 354,360
  4. Step 4: Simplify right side
    253,463x = 125,571,009,600
  5. Step 5: Solve for x
    x = 125,571,009,600/253,463
  6. Step 6: Final answer
    x = 495,421.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.