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Finding the Third Proportional to 411,440 and 545,937

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Solution

The third proportional to 411,440 and 545,937 is: 724,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,440 : 545,937 = 545,937 : x
  2. Step 2: Convert to fraction form
    411,440/545,937 = 545,937/x
  3. Step 3: Cross multiply
    411,440x = 545,937 × 545,937
  4. Step 4: Simplify right side
    411,440x = 298,047,207,969
  5. Step 5: Solve for x
    x = 298,047,207,969/411,440
  6. Step 6: Final answer
    x = 724,400.17

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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.