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Finding the Third Proportional to 411,421 and 545,911

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Solution

The third proportional to 411,421 and 545,911 is: 724,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,421 : 545,911 = 545,911 : x
  2. Step 2: Convert to fraction form
    411,421/545,911 = 545,911/x
  3. Step 3: Cross multiply
    411,421x = 545,911 × 545,911
  4. Step 4: Simplify right side
    411,421x = 298,018,819,921
  5. Step 5: Solve for x
    x = 298,018,819,921/411,421
  6. Step 6: Final answer
    x = 724,364.63

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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.