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Finding the Third Proportional to 270,421.50 and 424,191.75

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Solution

The third proportional to 270,421.50 and 424,191.75 is: 665,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,421.50 : 424,191.75 = 424,191.75 : x
  2. Step 2: Convert to fraction form
    270,421.50/424,191.75 = 424,191.75/x
  3. Step 3: Cross multiply
    270,421.50x = 424,191.75 × 424,191.75
  4. Step 4: Simplify right side
    270,421.50x = 179,938,640,768.06
  5. Step 5: Solve for x
    x = 179,938,640,768.06/270,421.50
  6. Step 6: Final answer
    x = 665,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.