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Finding the Third Proportional to 197,278 and 426,090

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Solution

The third proportional to 197,278 and 426,090 is: 920,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,278 : 426,090 = 426,090 : x
  2. Step 2: Convert to fraction form
    197,278/426,090 = 426,090/x
  3. Step 3: Cross multiply
    197,278x = 426,090 × 426,090
  4. Step 4: Simplify right side
    197,278x = 181,552,688,100
  5. Step 5: Solve for x
    x = 181,552,688,100/197,278
  6. Step 6: Final answer
    x = 920,288.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.