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Finding the Third Proportional to 64,000 and 99,620

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Solution

The third proportional to 64,000 and 99,620 is: 155,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000 : 99,620 = 99,620 : x
  2. Step 2: Convert to fraction form
    64,000/99,620 = 99,620/x
  3. Step 3: Cross multiply
    64,000x = 99,620 × 99,620
  4. Step 4: Simplify right side
    64,000x = 9,924,144,400
  5. Step 5: Solve for x
    x = 9,924,144,400/64,000
  6. Step 6: Final answer
    x = 155,064.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.