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Finding the Third Proportional to 134,178 and 294,276

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Solution

The third proportional to 134,178 and 294,276 is: 645,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,178 : 294,276 = 294,276 : x
  2. Step 2: Convert to fraction form
    134,178/294,276 = 294,276/x
  3. Step 3: Cross multiply
    134,178x = 294,276 × 294,276
  4. Step 4: Simplify right side
    134,178x = 86,598,364,176
  5. Step 5: Solve for x
    x = 86,598,364,176/134,178
  6. Step 6: Final answer
    x = 645,399.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.