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Finding the Third Proportional to 45,270 and 93,726

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Solution

The third proportional to 45,270 and 93,726 is: 194,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,270 : 93,726 = 93,726 : x
  2. Step 2: Convert to fraction form
    45,270/93,726 = 93,726/x
  3. Step 3: Cross multiply
    45,270x = 93,726 × 93,726
  4. Step 4: Simplify right side
    45,270x = 8,784,563,076
  5. Step 5: Solve for x
    x = 8,784,563,076/45,270
  6. Step 6: Final answer
    x = 194,048.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.