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Finding the Third Proportional to 7,178 and 10,507

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Solution

The third proportional to 7,178 and 10,507 is: 15,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178 : 10,507 = 10,507 : x
  2. Step 2: Convert to fraction form
    7,178/10,507 = 10,507/x
  3. Step 3: Cross multiply
    7,178x = 10,507 × 10,507
  4. Step 4: Simplify right side
    7,178x = 110,397,049
  5. Step 5: Solve for x
    x = 110,397,049/7,178
  6. Step 6: Final answer
    x = 15,379.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.