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Finding the Third Proportional to 398,462 and 609,803

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Solution

The third proportional to 398,462 and 609,803 is: 933,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,462 : 609,803 = 609,803 : x
  2. Step 2: Convert to fraction form
    398,462/609,803 = 609,803/x
  3. Step 3: Cross multiply
    398,462x = 609,803 × 609,803
  4. Step 4: Simplify right side
    398,462x = 371,859,698,809
  5. Step 5: Solve for x
    x = 371,859,698,809/398,462
  6. Step 6: Final answer
    x = 933,237.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.