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Finding the Third Proportional to 19,566 and 29,623.50

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Solution

The third proportional to 19,566 and 29,623.50 is: 44,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566 : 29,623.50 = 29,623.50 : x
  2. Step 2: Convert to fraction form
    19,566/29,623.50 = 29,623.50/x
  3. Step 3: Cross multiply
    19,566x = 29,623.50 × 29,623.50
  4. Step 4: Simplify right side
    19,566x = 877,551,752.25
  5. Step 5: Solve for x
    x = 877,551,752.25/19,566
  6. Step 6: Final answer
    x = 44,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.