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Finding the Third Proportional to 84,128 and 183,928

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Solution

The third proportional to 84,128 and 183,928 is: 402,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,128 : 183,928 = 183,928 : x
  2. Step 2: Convert to fraction form
    84,128/183,928 = 183,928/x
  3. Step 3: Cross multiply
    84,128x = 183,928 × 183,928
  4. Step 4: Simplify right side
    84,128x = 33,829,509,184
  5. Step 5: Solve for x
    x = 33,829,509,184/84,128
  6. Step 6: Final answer
    x = 402,119.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.