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Finding the Third Proportional to 408,824 and 572,890

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Solution

The third proportional to 408,824 and 572,890 is: 802,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824 : 572,890 = 572,890 : x
  2. Step 2: Convert to fraction form
    408,824/572,890 = 572,890/x
  3. Step 3: Cross multiply
    408,824x = 572,890 × 572,890
  4. Step 4: Simplify right side
    408,824x = 328,202,952,100
  5. Step 5: Solve for x
    x = 328,202,952,100/408,824
  6. Step 6: Final answer
    x = 802,797.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.