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Finding the Third Proportional to 270,445.50 and 420,410.25

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Solution

The third proportional to 270,445.50 and 420,410.25 is: 653,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,445.50 : 420,410.25 = 420,410.25 : x
  2. Step 2: Convert to fraction form
    270,445.50/420,410.25 = 420,410.25/x
  3. Step 3: Cross multiply
    270,445.50x = 420,410.25 × 420,410.25
  4. Step 4: Simplify right side
    270,445.50x = 176,744,778,305.06
  5. Step 5: Solve for x
    x = 176,744,778,305.06/270,445.50
  6. Step 6: Final answer
    x = 653,531.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.