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Finding the Third Proportional to 642,348 and 1,383,354

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Solution

The third proportional to 642,348 and 1,383,354 is: 2,979,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,348 : 1,383,354 = 1,383,354 : x
  2. Step 2: Convert to fraction form
    642,348/1,383,354 = 1,383,354/x
  3. Step 3: Cross multiply
    642,348x = 1,383,354 × 1,383,354
  4. Step 4: Simplify right side
    642,348x = 1,913,668,289,316
  5. Step 5: Solve for x
    x = 1,913,668,289,316/642,348
  6. Step 6: Final answer
    x = 2,979,176.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.