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Finding the Third Proportional to 128,276 and 296,926

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Solution

The third proportional to 128,276 and 296,926 is: 687,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276 : 296,926 = 296,926 : x
  2. Step 2: Convert to fraction form
    128,276/296,926 = 296,926/x
  3. Step 3: Cross multiply
    128,276x = 296,926 × 296,926
  4. Step 4: Simplify right side
    128,276x = 88,165,049,476
  5. Step 5: Solve for x
    x = 88,165,049,476/128,276
  6. Step 6: Final answer
    x = 687,307.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.