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Finding the Third Proportional to 66,501 and 99,815.63

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Solution

The third proportional to 66,501 and 99,815.63 is: 149,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 99,815.63 = 99,815.63 : x
  2. Step 2: Convert to fraction form
    66,501/99,815.63 = 99,815.63/x
  3. Step 3: Cross multiply
    66,501x = 99,815.63 × 99,815.63
  4. Step 4: Simplify right side
    66,501x = 9,963,158,994.14
  5. Step 5: Solve for x
    x = 9,963,158,994.14/66,501
  6. Step 6: Final answer
    x = 149,819.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.