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Finding the Third Proportional to 303,430 and 437,072

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Solution

The third proportional to 303,430 and 437,072 is: 629,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,430 : 437,072 = 437,072 : x
  2. Step 2: Convert to fraction form
    303,430/437,072 = 437,072/x
  3. Step 3: Cross multiply
    303,430x = 437,072 × 437,072
  4. Step 4: Simplify right side
    303,430x = 191,031,933,184
  5. Step 5: Solve for x
    x = 191,031,933,184/303,430
  6. Step 6: Final answer
    x = 629,574.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.