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Finding the Third Proportional to 377,940 and 577,897

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Solution

The third proportional to 377,940 and 577,897 is: 883,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,940 : 577,897 = 577,897 : x
  2. Step 2: Convert to fraction form
    377,940/577,897 = 577,897/x
  3. Step 3: Cross multiply
    377,940x = 577,897 × 577,897
  4. Step 4: Simplify right side
    377,940x = 333,964,942,609
  5. Step 5: Solve for x
    x = 333,964,942,609/377,940
  6. Step 6: Final answer
    x = 883,645.40

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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.