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Finding the Third Proportional to 328,572 and 712,913

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Solution

The third proportional to 328,572 and 712,913 is: 1,546,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,572 : 712,913 = 712,913 : x
  2. Step 2: Convert to fraction form
    328,572/712,913 = 712,913/x
  3. Step 3: Cross multiply
    328,572x = 712,913 × 712,913
  4. Step 4: Simplify right side
    328,572x = 508,244,945,569
  5. Step 5: Solve for x
    x = 508,244,945,569/328,572
  6. Step 6: Final answer
    x = 1,546,829.75

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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.