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Finding the Third Proportional to 411,423 and 545,914

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Solution

The third proportional to 411,423 and 545,914 is: 724,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,423 : 545,914 = 545,914 : x
  2. Step 2: Convert to fraction form
    411,423/545,914 = 545,914/x
  3. Step 3: Cross multiply
    411,423x = 545,914 × 545,914
  4. Step 4: Simplify right side
    411,423x = 298,022,095,396
  5. Step 5: Solve for x
    x = 298,022,095,396/411,423
  6. Step 6: Final answer
    x = 724,369.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.