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Finding the Third Proportional to 408,848 and 572,918

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Solution

The third proportional to 408,848 and 572,918 is: 802,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,848 : 572,918 = 572,918 : x
  2. Step 2: Convert to fraction form
    408,848/572,918 = 572,918/x
  3. Step 3: Cross multiply
    408,848x = 572,918 × 572,918
  4. Step 4: Simplify right side
    408,848x = 328,235,034,724
  5. Step 5: Solve for x
    x = 328,235,034,724/408,848
  6. Step 6: Final answer
    x = 802,829.01

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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.