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Finding the Third Proportional to 136,172 and 299,222

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Solution

The third proportional to 136,172 and 299,222 is: 657,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,172 : 299,222 = 299,222 : x
  2. Step 2: Convert to fraction form
    136,172/299,222 = 299,222/x
  3. Step 3: Cross multiply
    136,172x = 299,222 × 299,222
  4. Step 4: Simplify right side
    136,172x = 89,533,805,284
  5. Step 5: Solve for x
    x = 89,533,805,284/136,172
  6. Step 6: Final answer
    x = 657,505.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.