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Finding the Third Proportional to 101,152 and 221,654

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Solution

The third proportional to 101,152 and 221,654 is: 485,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,152 : 221,654 = 221,654 : x
  2. Step 2: Convert to fraction form
    101,152/221,654 = 221,654/x
  3. Step 3: Cross multiply
    101,152x = 221,654 × 221,654
  4. Step 4: Simplify right side
    101,152x = 49,130,495,716
  5. Step 5: Solve for x
    x = 49,130,495,716/101,152
  6. Step 6: Final answer
    x = 485,709.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.