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Finding the Third Proportional to 136,428 and 295,275

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Solution

The third proportional to 136,428 and 295,275 is: 639,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,428 : 295,275 = 295,275 : x
  2. Step 2: Convert to fraction form
    136,428/295,275 = 295,275/x
  3. Step 3: Cross multiply
    136,428x = 295,275 × 295,275
  4. Step 4: Simplify right side
    136,428x = 87,187,325,625
  5. Step 5: Solve for x
    x = 87,187,325,625/136,428
  6. Step 6: Final answer
    x = 639,072.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.