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Finding the Third Proportional to 30,970.50 and 49,218

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Solution

The third proportional to 30,970.50 and 49,218 is: 78,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.50 : 49,218 = 49,218 : x
  2. Step 2: Convert to fraction form
    30,970.50/49,218 = 49,218/x
  3. Step 3: Cross multiply
    30,970.50x = 49,218 × 49,218
  4. Step 4: Simplify right side
    30,970.50x = 2,422,411,524
  5. Step 5: Solve for x
    x = 2,422,411,524/30,970.50
  6. Step 6: Final answer
    x = 78,216.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.