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Finding the Third Proportional to 328,554 and 712,875

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Solution

The third proportional to 328,554 and 712,875 is: 1,546,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,554 : 712,875 = 712,875 : x
  2. Step 2: Convert to fraction form
    328,554/712,875 = 712,875/x
  3. Step 3: Cross multiply
    328,554x = 712,875 × 712,875
  4. Step 4: Simplify right side
    328,554x = 508,190,765,625
  5. Step 5: Solve for x
    x = 508,190,765,625/328,554
  6. Step 6: Final answer
    x = 1,546,749.59

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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.