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Finding the Third Proportional to 374,607 and 802,809

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Solution

The third proportional to 374,607 and 802,809 is: 1,720,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,607 : 802,809 = 802,809 : x
  2. Step 2: Convert to fraction form
    374,607/802,809 = 802,809/x
  3. Step 3: Cross multiply
    374,607x = 802,809 × 802,809
  4. Step 4: Simplify right side
    374,607x = 644,502,290,481
  5. Step 5: Solve for x
    x = 644,502,290,481/374,607
  6. Step 6: Final answer
    x = 1,720,475.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.