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Finding the Third Proportional to 304,340 and 457,430

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Solution

The third proportional to 304,340 and 457,430 is: 687,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,340 : 457,430 = 457,430 : x
  2. Step 2: Convert to fraction form
    304,340/457,430 = 457,430/x
  3. Step 3: Cross multiply
    304,340x = 457,430 × 457,430
  4. Step 4: Simplify right side
    304,340x = 209,242,204,900
  5. Step 5: Solve for x
    x = 209,242,204,900/304,340
  6. Step 6: Final answer
    x = 687,527.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.