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Finding the Third Proportional to 134,912 and 294,120

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Solution

The third proportional to 134,912 and 294,120 is: 641,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,912 : 294,120 = 294,120 : x
  2. Step 2: Convert to fraction form
    134,912/294,120 = 294,120/x
  3. Step 3: Cross multiply
    134,912x = 294,120 × 294,120
  4. Step 4: Simplify right side
    134,912x = 86,506,574,400
  5. Step 5: Solve for x
    x = 86,506,574,400/134,912
  6. Step 6: Final answer
    x = 641,207.41

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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.