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Finding the Third Proportional to 648,405 and 1,041,811.88

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Solution

The third proportional to 648,405 and 1,041,811.88 is: 1,673,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,405 : 1,041,811.88 = 1,041,811.88 : x
  2. Step 2: Convert to fraction form
    648,405/1,041,811.88 = 1,041,811.88/x
  3. Step 3: Cross multiply
    648,405x = 1,041,811.88 × 1,041,811.88
  4. Step 4: Simplify right side
    648,405x = 1,085,371,982,891.02
  5. Step 5: Solve for x
    x = 1,085,371,982,891.02/648,405
  6. Step 6: Final answer
    x = 1,673,910.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.