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Finding the Third Proportional to 578,946 and 1,220,100

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Solution

The third proportional to 578,946 and 1,220,100 is: 2,571,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,946 : 1,220,100 = 1,220,100 : x
  2. Step 2: Convert to fraction form
    578,946/1,220,100 = 1,220,100/x
  3. Step 3: Cross multiply
    578,946x = 1,220,100 × 1,220,100
  4. Step 4: Simplify right side
    578,946x = 1,488,644,010,000
  5. Step 5: Solve for x
    x = 1,488,644,010,000/578,946
  6. Step 6: Final answer
    x = 2,571,300.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.