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Finding the Third Proportional to 101,312 and 221,272

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Solution

The third proportional to 101,312 and 221,272 is: 483,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,312 : 221,272 = 221,272 : x
  2. Step 2: Convert to fraction form
    101,312/221,272 = 221,272/x
  3. Step 3: Cross multiply
    101,312x = 221,272 × 221,272
  4. Step 4: Simplify right side
    101,312x = 48,961,297,984
  5. Step 5: Solve for x
    x = 48,961,297,984/101,312
  6. Step 6: Final answer
    x = 483,272.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.