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Finding the Third Proportional to 293,077.50 and 438,387

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Solution

The third proportional to 293,077.50 and 438,387 is: 655,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,077.50 : 438,387 = 438,387 : x
  2. Step 2: Convert to fraction form
    293,077.50/438,387 = 438,387/x
  3. Step 3: Cross multiply
    293,077.50x = 438,387 × 438,387
  4. Step 4: Simplify right side
    293,077.50x = 192,183,161,769
  5. Step 5: Solve for x
    x = 192,183,161,769/293,077.50
  6. Step 6: Final answer
    x = 655,741.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.