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Finding the Third Proportional to 21,354,087.75 and 31,891,200.75

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Solution

The third proportional to 21,354,087.75 and 31,891,200.75 is: 47,627,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354,087.75 : 31,891,200.75 = 31,891,200.75 : x
  2. Step 2: Convert to fraction form
    21,354,087.75/31,891,200.75 = 31,891,200.75/x
  3. Step 3: Cross multiply
    21,354,087.75x = 31,891,200.75 × 31,891,200.75
  4. Step 4: Simplify right side
    21,354,087.75x = 1,017,048,685,276,800.50
  5. Step 5: Solve for x
    x = 1,017,048,685,276,800.50/21,354,087.75
  6. Step 6: Final answer
    x = 47,627,821.76

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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.