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Finding the Third Proportional to 12,312 and 19,289

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Solution

The third proportional to 12,312 and 19,289 is: 30,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 19,289 = 19,289 : x
  2. Step 2: Convert to fraction form
    12,312/19,289 = 19,289/x
  3. Step 3: Cross multiply
    12,312x = 19,289 × 19,289
  4. Step 4: Simplify right side
    12,312x = 372,065,521
  5. Step 5: Solve for x
    x = 372,065,521/12,312
  6. Step 6: Final answer
    x = 30,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.