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Finding the Third Proportional to 328,441 and 710,864

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Solution

The third proportional to 328,441 and 710,864 is: 1,538,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,441 : 710,864 = 710,864 : x
  2. Step 2: Convert to fraction form
    328,441/710,864 = 710,864/x
  3. Step 3: Cross multiply
    328,441x = 710,864 × 710,864
  4. Step 4: Simplify right side
    328,441x = 505,327,626,496
  5. Step 5: Solve for x
    x = 505,327,626,496/328,441
  6. Step 6: Final answer
    x = 1,538,564.39

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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.