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Finding the Third Proportional to 134,178 and 287,148

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Solution

The third proportional to 134,178 and 287,148 is: 614,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,178 : 287,148 = 287,148 : x
  2. Step 2: Convert to fraction form
    134,178/287,148 = 287,148/x
  3. Step 3: Cross multiply
    134,178x = 287,148 × 287,148
  4. Step 4: Simplify right side
    134,178x = 82,453,973,904
  5. Step 5: Solve for x
    x = 82,453,973,904/134,178
  6. Step 6: Final answer
    x = 614,511.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.