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Finding the Third Proportional to 343,363.50 and 520,877.25

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Solution

The third proportional to 343,363.50 and 520,877.25 is: 790,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,363.50 : 520,877.25 = 520,877.25 : x
  2. Step 2: Convert to fraction form
    343,363.50/520,877.25 = 520,877.25/x
  3. Step 3: Cross multiply
    343,363.50x = 520,877.25 × 520,877.25
  4. Step 4: Simplify right side
    343,363.50x = 271,313,109,567.56
  5. Step 5: Solve for x
    x = 271,313,109,567.56/343,363.50
  6. Step 6: Final answer
    x = 790,162.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.