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Finding the Third Proportional to 377,423 and 824,830

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Solution

The third proportional to 377,423 and 824,830 is: 1,802,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,423 : 824,830 = 824,830 : x
  2. Step 2: Convert to fraction form
    377,423/824,830 = 824,830/x
  3. Step 3: Cross multiply
    377,423x = 824,830 × 824,830
  4. Step 4: Simplify right side
    377,423x = 680,344,528,900
  5. Step 5: Solve for x
    x = 680,344,528,900/377,423
  6. Step 6: Final answer
    x = 1,802,604.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.