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Finding the Third Proportional to 411,417 and 545,905

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Solution

The third proportional to 411,417 and 545,905 is: 724,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417 : 545,905 = 545,905 : x
  2. Step 2: Convert to fraction form
    411,417/545,905 = 545,905/x
  3. Step 3: Cross multiply
    411,417x = 545,905 × 545,905
  4. Step 4: Simplify right side
    411,417x = 298,012,269,025
  5. Step 5: Solve for x
    x = 298,012,269,025/411,417
  6. Step 6: Final answer
    x = 724,355.75

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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.