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Finding the Third Proportional to 502,946 and 1,084,299

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Solution

The third proportional to 502,946 and 1,084,299 is: 2,337,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,946 : 1,084,299 = 1,084,299 : x
  2. Step 2: Convert to fraction form
    502,946/1,084,299 = 1,084,299/x
  3. Step 3: Cross multiply
    502,946x = 1,084,299 × 1,084,299
  4. Step 4: Simplify right side
    502,946x = 1,175,704,321,401
  5. Step 5: Solve for x
    x = 1,175,704,321,401/502,946
  6. Step 6: Final answer
    x = 2,337,635.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.