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Finding the Third Proportional to 642,294 and 1,383,246

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Solution

The third proportional to 642,294 and 1,383,246 is: 2,978,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,294 : 1,383,246 = 1,383,246 : x
  2. Step 2: Convert to fraction form
    642,294/1,383,246 = 1,383,246/x
  3. Step 3: Cross multiply
    642,294x = 1,383,246 × 1,383,246
  4. Step 4: Simplify right side
    642,294x = 1,913,369,496,516
  5. Step 5: Solve for x
    x = 1,913,369,496,516/642,294
  6. Step 6: Final answer
    x = 2,978,962.12

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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.