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Finding the Third Proportional to 3,128,409 and 4,190,089.50

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Solution

The third proportional to 3,128,409 and 4,190,089.50 is: 5,612,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128,409 : 4,190,089.50 = 4,190,089.50 : x
  2. Step 2: Convert to fraction form
    3,128,409/4,190,089.50 = 4,190,089.50/x
  3. Step 3: Cross multiply
    3,128,409x = 4,190,089.50 × 4,190,089.50
  4. Step 4: Simplify right side
    3,128,409x = 17,556,850,018,010.25
  5. Step 5: Solve for x
    x = 17,556,850,018,010.25/3,128,409
  6. Step 6: Final answer
    x = 5,612,069.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.