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Finding the Third Proportional to 51,506 and 73,515

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Solution

The third proportional to 51,506 and 73,515 is: 104,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506 : 73,515 = 73,515 : x
  2. Step 2: Convert to fraction form
    51,506/73,515 = 73,515/x
  3. Step 3: Cross multiply
    51,506x = 73,515 × 73,515
  4. Step 4: Simplify right side
    51,506x = 5,404,455,225
  5. Step 5: Solve for x
    x = 5,404,455,225/51,506
  6. Step 6: Final answer
    x = 104,928.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.