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Finding the Third Proportional to 411,490.13 and 545,995.69

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Solution

The third proportional to 411,490.13 and 545,995.69 is: 724,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,490.13 : 545,995.69 = 545,995.69 : x
  2. Step 2: Convert to fraction form
    411,490.13/545,995.69 = 545,995.69/x
  3. Step 3: Cross multiply
    411,490.13x = 545,995.69 × 545,995.69
  4. Step 4: Simplify right side
    411,490.13x = 298,111,290,768.60
  5. Step 5: Solve for x
    x = 298,111,290,768.60/411,490.13
  6. Step 6: Final answer
    x = 724,467.67

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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.