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Finding the Third Proportional to 328,361 and 707,986

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Solution

The third proportional to 328,361 and 707,986 is: 1,526,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,361 : 707,986 = 707,986 : x
  2. Step 2: Convert to fraction form
    328,361/707,986 = 707,986/x
  3. Step 3: Cross multiply
    328,361x = 707,986 × 707,986
  4. Step 4: Simplify right side
    328,361x = 501,244,176,196
  5. Step 5: Solve for x
    x = 501,244,176,196/328,361
  6. Step 6: Final answer
    x = 1,526,503.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.