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Finding the Third Proportional to 434,878.88 and 612,405.56

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Solution

The third proportional to 434,878.88 and 612,405.56 is: 862,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,878.88 : 612,405.56 = 612,405.56 : x
  2. Step 2: Convert to fraction form
    434,878.88/612,405.56 = 612,405.56/x
  3. Step 3: Cross multiply
    434,878.88x = 612,405.56 × 612,405.56
  4. Step 4: Simplify right side
    434,878.88x = 375,040,572,980.94
  5. Step 5: Solve for x
    x = 375,040,572,980.94/434,878.88
  6. Step 6: Final answer
    x = 862,402.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.