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Finding the Third Proportional to 385,042 and 899,628

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Solution

The third proportional to 385,042 and 899,628 is: 2,101,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,042 : 899,628 = 899,628 : x
  2. Step 2: Convert to fraction form
    385,042/899,628 = 899,628/x
  3. Step 3: Cross multiply
    385,042x = 899,628 × 899,628
  4. Step 4: Simplify right side
    385,042x = 809,330,538,384
  5. Step 5: Solve for x
    x = 809,330,538,384/385,042
  6. Step 6: Final answer
    x = 2,101,927.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.