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Finding the Third Proportional to 385,188 and 554,829

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Solution

The third proportional to 385,188 and 554,829 is: 799,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,188 : 554,829 = 554,829 : x
  2. Step 2: Convert to fraction form
    385,188/554,829 = 554,829/x
  3. Step 3: Cross multiply
    385,188x = 554,829 × 554,829
  4. Step 4: Simplify right side
    385,188x = 307,835,219,241
  5. Step 5: Solve for x
    x = 307,835,219,241/385,188
  6. Step 6: Final answer
    x = 799,181.75

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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.