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Finding the Third Proportional to 421,774.50 and 909,982.50

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Solution

The third proportional to 421,774.50 and 909,982.50 is: 1,963,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,774.50 : 909,982.50 = 909,982.50 : x
  2. Step 2: Convert to fraction form
    421,774.50/909,982.50 = 909,982.50/x
  3. Step 3: Cross multiply
    421,774.50x = 909,982.50 × 909,982.50
  4. Step 4: Simplify right side
    421,774.50x = 828,068,150,306.25
  5. Step 5: Solve for x
    x = 828,068,150,306.25/421,774.50
  6. Step 6: Final answer
    x = 1,963,295.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.