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Finding the Third Proportional to 328,416 and 705,946

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Solution

The third proportional to 328,416 and 705,946 is: 1,517,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,416 : 705,946 = 705,946 : x
  2. Step 2: Convert to fraction form
    328,416/705,946 = 705,946/x
  3. Step 3: Cross multiply
    328,416x = 705,946 × 705,946
  4. Step 4: Simplify right side
    328,416x = 498,359,754,916
  5. Step 5: Solve for x
    x = 498,359,754,916/328,416
  6. Step 6: Final answer
    x = 1,517,464.91

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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.