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Finding the Third Proportional to 377,509.50 and 829,620

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Solution

The third proportional to 377,509.50 and 829,620 is: 1,823,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,509.50 : 829,620 = 829,620 : x
  2. Step 2: Convert to fraction form
    377,509.50/829,620 = 829,620/x
  3. Step 3: Cross multiply
    377,509.50x = 829,620 × 829,620
  4. Step 4: Simplify right side
    377,509.50x = 688,269,344,400
  5. Step 5: Solve for x
    x = 688,269,344,400/377,509.50
  6. Step 6: Final answer
    x = 1,823,184.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.