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Finding the Third Proportional to 328,545 and 712,857

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Solution

The third proportional to 328,545 and 712,857 is: 1,546,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,545 : 712,857 = 712,857 : x
  2. Step 2: Convert to fraction form
    328,545/712,857 = 712,857/x
  3. Step 3: Cross multiply
    328,545x = 712,857 × 712,857
  4. Step 4: Simplify right side
    328,545x = 508,165,102,449
  5. Step 5: Solve for x
    x = 508,165,102,449/328,545
  6. Step 6: Final answer
    x = 1,546,713.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.