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Finding the Third Proportional to 393,900.75 and 562,455

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Solution

The third proportional to 393,900.75 and 562,455 is: 803,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,900.75 : 562,455 = 562,455 : x
  2. Step 2: Convert to fraction form
    393,900.75/562,455 = 562,455/x
  3. Step 3: Cross multiply
    393,900.75x = 562,455 × 562,455
  4. Step 4: Simplify right side
    393,900.75x = 316,355,627,025
  5. Step 5: Solve for x
    x = 316,355,627,025/393,900.75
  6. Step 6: Final answer
    x = 803,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.