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Finding the Third Proportional to 418,725.56 and 547,511.06

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Solution

The third proportional to 418,725.56 and 547,511.06 is: 715,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,725.56 : 547,511.06 = 547,511.06 : x
  2. Step 2: Convert to fraction form
    418,725.56/547,511.06 = 547,511.06/x
  3. Step 3: Cross multiply
    418,725.56x = 547,511.06 × 547,511.06
  4. Step 4: Simplify right side
    418,725.56x = 299,768,363,559.88
  5. Step 5: Solve for x
    x = 299,768,363,559.88/418,725.56
  6. Step 6: Final answer
    x = 715,906.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.