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Finding the Third Proportional to 328,294 and 705,631

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Solution

The third proportional to 328,294 and 705,631 is: 1,516,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,294 : 705,631 = 705,631 : x
  2. Step 2: Convert to fraction form
    328,294/705,631 = 705,631/x
  3. Step 3: Cross multiply
    328,294x = 705,631 × 705,631
  4. Step 4: Simplify right side
    328,294x = 497,915,108,161
  5. Step 5: Solve for x
    x = 497,915,108,161/328,294
  6. Step 6: Final answer
    x = 1,516,674.41

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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.