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Finding the Third Proportional to 45,225 and 70,281

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Solution

The third proportional to 45,225 and 70,281 is: 109,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225 : 70,281 = 70,281 : x
  2. Step 2: Convert to fraction form
    45,225/70,281 = 70,281/x
  3. Step 3: Cross multiply
    45,225x = 70,281 × 70,281
  4. Step 4: Simplify right side
    45,225x = 4,939,418,961
  5. Step 5: Solve for x
    x = 4,939,418,961/45,225
  6. Step 6: Final answer
    x = 109,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.