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Finding the Third Proportional to 305,392.50 and 658,117.13

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Solution

The third proportional to 305,392.50 and 658,117.13 is: 1,418,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,392.50 : 658,117.13 = 658,117.13 : x
  2. Step 2: Convert to fraction form
    305,392.50/658,117.13 = 658,117.13/x
  3. Step 3: Cross multiply
    305,392.50x = 658,117.13 × 658,117.13
  4. Step 4: Simplify right side
    305,392.50x = 433,118,150,218.27
  5. Step 5: Solve for x
    x = 433,118,150,218.27/305,392.50
  6. Step 6: Final answer
    x = 1,418,234.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.