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Finding the Third Proportional to 642,117 and 1,383,576

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Solution

The third proportional to 642,117 and 1,383,576 is: 2,981,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,117 : 1,383,576 = 1,383,576 : x
  2. Step 2: Convert to fraction form
    642,117/1,383,576 = 1,383,576/x
  3. Step 3: Cross multiply
    642,117x = 1,383,576 × 1,383,576
  4. Step 4: Simplify right side
    642,117x = 1,914,282,547,776
  5. Step 5: Solve for x
    x = 1,914,282,547,776/642,117
  6. Step 6: Final answer
    x = 2,981,205.21

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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.