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Finding the Third Proportional to 3,542,607 and 5,639,719.50

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Solution

The third proportional to 3,542,607 and 5,639,719.50 is: 8,978,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,607 : 5,639,719.50 = 5,639,719.50 : x
  2. Step 2: Convert to fraction form
    3,542,607/5,639,719.50 = 5,639,719.50/x
  3. Step 3: Cross multiply
    3,542,607x = 5,639,719.50 × 5,639,719.50
  4. Step 4: Simplify right side
    3,542,607x = 31,806,436,038,680.25
  5. Step 5: Solve for x
    x = 31,806,436,038,680.25/3,542,607
  6. Step 6: Final answer
    x = 8,978,256.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.