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Finding the Third Proportional to 252,643.50 and 369,105.75

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Solution

The third proportional to 252,643.50 and 369,105.75 is: 539,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,643.50 : 369,105.75 = 369,105.75 : x
  2. Step 2: Convert to fraction form
    252,643.50/369,105.75 = 369,105.75/x
  3. Step 3: Cross multiply
    252,643.50x = 369,105.75 × 369,105.75
  4. Step 4: Simplify right side
    252,643.50x = 136,239,054,683.06
  5. Step 5: Solve for x
    x = 136,239,054,683.06/252,643.50
  6. Step 6: Final answer
    x = 539,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.