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Finding the Third Proportional to 30,486 and 46,918

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Solution

The third proportional to 30,486 and 46,918 is: 72,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486 : 46,918 = 46,918 : x
  2. Step 2: Convert to fraction form
    30,486/46,918 = 46,918/x
  3. Step 3: Cross multiply
    30,486x = 46,918 × 46,918
  4. Step 4: Simplify right side
    30,486x = 2,201,298,724
  5. Step 5: Solve for x
    x = 2,201,298,724/30,486
  6. Step 6: Final answer
    x = 72,206.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.