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Finding the Third Proportional to 328,394 and 709,176

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Solution

The third proportional to 328,394 and 709,176 is: 1,531,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,394 : 709,176 = 709,176 : x
  2. Step 2: Convert to fraction form
    328,394/709,176 = 709,176/x
  3. Step 3: Cross multiply
    328,394x = 709,176 × 709,176
  4. Step 4: Simplify right side
    328,394x = 502,930,598,976
  5. Step 5: Solve for x
    x = 502,930,598,976/328,394
  6. Step 6: Final answer
    x = 1,531,485.35

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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.