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Finding the Third Proportional to 408,826 and 572,893

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Solution

The third proportional to 408,826 and 572,893 is: 802,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,826 : 572,893 = 572,893 : x
  2. Step 2: Convert to fraction form
    408,826/572,893 = 572,893/x
  3. Step 3: Cross multiply
    408,826x = 572,893 × 572,893
  4. Step 4: Simplify right side
    408,826x = 328,206,389,449
  5. Step 5: Solve for x
    x = 328,206,389,449/408,826
  6. Step 6: Final answer
    x = 802,802.14

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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.