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Finding the Third Proportional to 385,209.56 and 554,853.94

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Solution

The third proportional to 385,209.56 and 554,853.94 is: 799,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,209.56 : 554,853.94 = 554,853.94 : x
  2. Step 2: Convert to fraction form
    385,209.56/554,853.94 = 554,853.94/x
  3. Step 3: Cross multiply
    385,209.56x = 554,853.94 × 554,853.94
  4. Step 4: Simplify right side
    385,209.56x = 307,862,891,959.25
  5. Step 5: Solve for x
    x = 307,862,891,959.25/385,209.56
  6. Step 6: Final answer
    x = 799,208.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.