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Finding the Third Proportional to 328,120 and 715,536

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Solution

The third proportional to 328,120 and 715,536 is: 1,560,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,120 : 715,536 = 715,536 : x
  2. Step 2: Convert to fraction form
    328,120/715,536 = 715,536/x
  3. Step 3: Cross multiply
    328,120x = 715,536 × 715,536
  4. Step 4: Simplify right side
    328,120x = 511,991,767,296
  5. Step 5: Solve for x
    x = 511,991,767,296/328,120
  6. Step 6: Final answer
    x = 1,560,379.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.