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Finding the Third Proportional to 385,628 and 790,044

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Solution

The third proportional to 385,628 and 790,044 is: 1,618,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,628 : 790,044 = 790,044 : x
  2. Step 2: Convert to fraction form
    385,628/790,044 = 790,044/x
  3. Step 3: Cross multiply
    385,628x = 790,044 × 790,044
  4. Step 4: Simplify right side
    385,628x = 624,169,521,936
  5. Step 5: Solve for x
    x = 624,169,521,936/385,628
  6. Step 6: Final answer
    x = 1,618,579.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.