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Finding the Third Proportional to 46,098 and 93,888

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Solution

The third proportional to 46,098 and 93,888 is: 191,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,098 : 93,888 = 93,888 : x
  2. Step 2: Convert to fraction form
    46,098/93,888 = 93,888/x
  3. Step 3: Cross multiply
    46,098x = 93,888 × 93,888
  4. Step 4: Simplify right side
    46,098x = 8,814,956,544
  5. Step 5: Solve for x
    x = 8,814,956,544/46,098
  6. Step 6: Final answer
    x = 191,222.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.