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Finding the Third Proportional to 451,609 and 619,254

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Solution

The third proportional to 451,609 and 619,254 is: 849,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,609 : 619,254 = 619,254 : x
  2. Step 2: Convert to fraction form
    451,609/619,254 = 619,254/x
  3. Step 3: Cross multiply
    451,609x = 619,254 × 619,254
  4. Step 4: Simplify right side
    451,609x = 383,475,516,516
  5. Step 5: Solve for x
    x = 383,475,516,516/451,609
  6. Step 6: Final answer
    x = 849,131.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.