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Finding the Third Proportional to 469,921.50 and 756,643.78

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Solution

The third proportional to 469,921.50 and 756,643.78 is: 1,218,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,921.50 : 756,643.78 = 756,643.78 : x
  2. Step 2: Convert to fraction form
    469,921.50/756,643.78 = 756,643.78/x
  3. Step 3: Cross multiply
    469,921.50x = 756,643.78 × 756,643.78
  4. Step 4: Simplify right side
    469,921.50x = 572,509,811,704.30
  5. Step 5: Solve for x
    x = 572,509,811,704.30/469,921.50
  6. Step 6: Final answer
    x = 1,218,309.47

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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.