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Finding the Third Proportional to 377,936 and 577,890

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Solution

The third proportional to 377,936 and 577,890 is: 883,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,936 : 577,890 = 577,890 : x
  2. Step 2: Convert to fraction form
    377,936/577,890 = 577,890/x
  3. Step 3: Cross multiply
    377,936x = 577,890 × 577,890
  4. Step 4: Simplify right side
    377,936x = 333,956,852,100
  5. Step 5: Solve for x
    x = 333,956,852,100/377,936
  6. Step 6: Final answer
    x = 883,633.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.