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Finding the Third Proportional to 328,378 and 709,252

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Solution

The third proportional to 328,378 and 709,252 is: 1,531,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,378 : 709,252 = 709,252 : x
  2. Step 2: Convert to fraction form
    328,378/709,252 = 709,252/x
  3. Step 3: Cross multiply
    328,378x = 709,252 × 709,252
  4. Step 4: Simplify right side
    328,378x = 503,038,399,504
  5. Step 5: Solve for x
    x = 503,038,399,504/328,378
  6. Step 6: Final answer
    x = 1,531,888.25

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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.