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Finding the Third Proportional to 137,004 and 201,078

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Solution

The third proportional to 137,004 and 201,078 is: 295,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,004 : 201,078 = 201,078 : x
  2. Step 2: Convert to fraction form
    137,004/201,078 = 201,078/x
  3. Step 3: Cross multiply
    137,004x = 201,078 × 201,078
  4. Step 4: Simplify right side
    137,004x = 40,432,362,084
  5. Step 5: Solve for x
    x = 40,432,362,084/137,004
  6. Step 6: Final answer
    x = 295,118.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.