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Finding the Third Proportional to 189,420 and 294,090

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Solution

The third proportional to 189,420 and 294,090 is: 456,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,420 : 294,090 = 294,090 : x
  2. Step 2: Convert to fraction form
    189,420/294,090 = 294,090/x
  3. Step 3: Cross multiply
    189,420x = 294,090 × 294,090
  4. Step 4: Simplify right side
    189,420x = 86,488,928,100
  5. Step 5: Solve for x
    x = 86,488,928,100/189,420
  6. Step 6: Final answer
    x = 456,598.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.