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Finding the Third Proportional to 323,897.50 and 668,541

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Solution

The third proportional to 323,897.50 and 668,541 is: 1,379,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,897.50 : 668,541 = 668,541 : x
  2. Step 2: Convert to fraction form
    323,897.50/668,541 = 668,541/x
  3. Step 3: Cross multiply
    323,897.50x = 668,541 × 668,541
  4. Step 4: Simplify right side
    323,897.50x = 446,947,068,681
  5. Step 5: Solve for x
    x = 446,947,068,681/323,897.50
  6. Step 6: Final answer
    x = 1,379,902.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.