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Finding the Third Proportional to 490,465.13 and 665,713.69

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Solution

The third proportional to 490,465.13 and 665,713.69 is: 903,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,465.13 : 665,713.69 = 665,713.69 : x
  2. Step 2: Convert to fraction form
    490,465.13/665,713.69 = 665,713.69/x
  3. Step 3: Cross multiply
    490,465.13x = 665,713.69 × 665,713.69
  4. Step 4: Simplify right side
    490,465.13x = 443,174,713,724.85
  5. Step 5: Solve for x
    x = 443,174,713,724.85/490,465.13
  6. Step 6: Final answer
    x = 903,580.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.