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Finding the Third Proportional to 412,897.50 and 909,619.88

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Solution

The third proportional to 412,897.50 and 909,619.88 is: 2,003,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,897.50 : 909,619.88 = 909,619.88 : x
  2. Step 2: Convert to fraction form
    412,897.50/909,619.88 = 909,619.88/x
  3. Step 3: Cross multiply
    412,897.50x = 909,619.88 × 909,619.88
  4. Step 4: Simplify right side
    412,897.50x = 827,408,316,995.02
  5. Step 5: Solve for x
    x = 827,408,316,995.02/412,897.50
  6. Step 6: Final answer
    x = 2,003,907.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.