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Finding the Third Proportional to 377,929.55 and 829,579.22

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Solution

The third proportional to 377,929.55 and 829,579.22 is: 1,820,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,929.55 : 829,579.22 = 829,579.22 : x
  2. Step 2: Convert to fraction form
    377,929.55/829,579.22 = 829,579.22/x
  3. Step 3: Cross multiply
    377,929.55x = 829,579.22 × 829,579.22
  4. Step 4: Simplify right side
    377,929.55x = 688,201,680,181.86
  5. Step 5: Solve for x
    x = 688,201,680,181.86/377,929.55
  6. Step 6: Final answer
    x = 1,820,978.77

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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.