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Finding the Third Proportional to 64,821 and 141,000

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Solution

The third proportional to 64,821 and 141,000 is: 306,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 141,000 = 141,000 : x
  2. Step 2: Convert to fraction form
    64,821/141,000 = 141,000/x
  3. Step 3: Cross multiply
    64,821x = 141,000 × 141,000
  4. Step 4: Simplify right side
    64,821x = 19,881,000,000
  5. Step 5: Solve for x
    x = 19,881,000,000/64,821
  6. Step 6: Final answer
    x = 306,706.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.