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Finding the Third Proportional to 328,160 and 715,616

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Solution

The third proportional to 328,160 and 715,616 is: 1,560,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,160 : 715,616 = 715,616 : x
  2. Step 2: Convert to fraction form
    328,160/715,616 = 715,616/x
  3. Step 3: Cross multiply
    328,160x = 715,616 × 715,616
  4. Step 4: Simplify right side
    328,160x = 512,106,259,456
  5. Step 5: Solve for x
    x = 512,106,259,456/328,160
  6. Step 6: Final answer
    x = 1,560,538.33

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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.