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Finding the Third Proportional to 12,709 and 19,316

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Solution

The third proportional to 12,709 and 19,316 is: 29,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709 : 19,316 = 19,316 : x
  2. Step 2: Convert to fraction form
    12,709/19,316 = 19,316/x
  3. Step 3: Cross multiply
    12,709x = 19,316 × 19,316
  4. Step 4: Simplify right side
    12,709x = 373,107,856
  5. Step 5: Solve for x
    x = 373,107,856/12,709
  6. Step 6: Final answer
    x = 29,357.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.