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Finding the Third Proportional to 184,378 and 402,128

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Solution

The third proportional to 184,378 and 402,128 is: 877,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,378 : 402,128 = 402,128 : x
  2. Step 2: Convert to fraction form
    184,378/402,128 = 402,128/x
  3. Step 3: Cross multiply
    184,378x = 402,128 × 402,128
  4. Step 4: Simplify right side
    184,378x = 161,706,928,384
  5. Step 5: Solve for x
    x = 161,706,928,384/184,378
  6. Step 6: Final answer
    x = 877,040.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.