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Finding the Third Proportional to 238,140.50 and 323,421.50

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Solution

The third proportional to 238,140.50 and 323,421.50 is: 439,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,140.50 : 323,421.50 = 323,421.50 : x
  2. Step 2: Convert to fraction form
    238,140.50/323,421.50 = 323,421.50/x
  3. Step 3: Cross multiply
    238,140.50x = 323,421.50 × 323,421.50
  4. Step 4: Simplify right side
    238,140.50x = 104,601,466,662.25
  5. Step 5: Solve for x
    x = 104,601,466,662.25/238,140.50
  6. Step 6: Final answer
    x = 439,242.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.