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Finding the Third Proportional to 121,068 and 264,258

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Solution

The third proportional to 121,068 and 264,258 is: 576,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,068 : 264,258 = 264,258 : x
  2. Step 2: Convert to fraction form
    121,068/264,258 = 264,258/x
  3. Step 3: Cross multiply
    121,068x = 264,258 × 264,258
  4. Step 4: Simplify right side
    121,068x = 69,832,290,564
  5. Step 5: Solve for x
    x = 69,832,290,564/121,068
  6. Step 6: Final answer
    x = 576,802.21

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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.