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Finding the Third Proportional to 307,897 and 490,303.25

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Solution

The third proportional to 307,897 and 490,303.25 is: 780,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,897 : 490,303.25 = 490,303.25 : x
  2. Step 2: Convert to fraction form
    307,897/490,303.25 = 490,303.25/x
  3. Step 3: Cross multiply
    307,897x = 490,303.25 × 490,303.25
  4. Step 4: Simplify right side
    307,897x = 240,397,276,960.56
  5. Step 5: Solve for x
    x = 240,397,276,960.56/307,897
  6. Step 6: Final answer
    x = 780,771.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.