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Finding the Third Proportional to 121,564 and 183,968

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Solution

The third proportional to 121,564 and 183,968 is: 278,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,564 : 183,968 = 183,968 : x
  2. Step 2: Convert to fraction form
    121,564/183,968 = 183,968/x
  3. Step 3: Cross multiply
    121,564x = 183,968 × 183,968
  4. Step 4: Simplify right side
    121,564x = 33,844,225,024
  5. Step 5: Solve for x
    x = 33,844,225,024/121,564
  6. Step 6: Final answer
    x = 278,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.