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Finding the Third Proportional to 374,809 and 819,520

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Solution

The third proportional to 374,809 and 819,520 is: 1,791,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,809 : 819,520 = 819,520 : x
  2. Step 2: Convert to fraction form
    374,809/819,520 = 819,520/x
  3. Step 3: Cross multiply
    374,809x = 819,520 × 819,520
  4. Step 4: Simplify right side
    374,809x = 671,613,030,400
  5. Step 5: Solve for x
    x = 671,613,030,400/374,809
  6. Step 6: Final answer
    x = 1,791,880.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.