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Finding the Third Proportional to 19,316 and 28,729

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Solution

The third proportional to 19,316 and 28,729 is: 42,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316 : 28,729 = 28,729 : x
  2. Step 2: Convert to fraction form
    19,316/28,729 = 28,729/x
  3. Step 3: Cross multiply
    19,316x = 28,729 × 28,729
  4. Step 4: Simplify right side
    19,316x = 825,355,441
  5. Step 5: Solve for x
    x = 825,355,441/19,316
  6. Step 6: Final answer
    x = 42,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.