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Finding the Third Proportional to 66,310 and 105,000

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Solution

The third proportional to 66,310 and 105,000 is: 166,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,310 : 105,000 = 105,000 : x
  2. Step 2: Convert to fraction form
    66,310/105,000 = 105,000/x
  3. Step 3: Cross multiply
    66,310x = 105,000 × 105,000
  4. Step 4: Simplify right side
    66,310x = 11,025,000,000
  5. Step 5: Solve for x
    x = 11,025,000,000/66,310
  6. Step 6: Final answer
    x = 166,264.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.