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Finding the Third Proportional to 328,976 and 709,168

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Solution

The third proportional to 328,976 and 709,168 is: 1,528,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,976 : 709,168 = 709,168 : x
  2. Step 2: Convert to fraction form
    328,976/709,168 = 709,168/x
  3. Step 3: Cross multiply
    328,976x = 709,168 × 709,168
  4. Step 4: Simplify right side
    328,976x = 502,919,252,224
  5. Step 5: Solve for x
    x = 502,919,252,224/328,976
  6. Step 6: Final answer
    x = 1,528,741.47

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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.