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Finding the Third Proportional to 634,548.94 and 990,414.84

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Solution

The third proportional to 634,548.94 and 990,414.84 is: 1,545,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,548.94 : 990,414.84 = 990,414.84 : x
  2. Step 2: Convert to fraction form
    634,548.94/990,414.84 = 990,414.84/x
  3. Step 3: Cross multiply
    634,548.94x = 990,414.84 × 990,414.84
  4. Step 4: Simplify right side
    634,548.94x = 980,921,562,720.34
  5. Step 5: Solve for x
    x = 980,921,562,720.34/634,548.94
  6. Step 6: Final answer
    x = 1,545,856.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.