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Finding the Third Proportional to 374,912 and 809,776

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Solution

The third proportional to 374,912 and 809,776 is: 1,749,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,912 : 809,776 = 809,776 : x
  2. Step 2: Convert to fraction form
    374,912/809,776 = 809,776/x
  3. Step 3: Cross multiply
    374,912x = 809,776 × 809,776
  4. Step 4: Simplify right side
    374,912x = 655,737,170,176
  5. Step 5: Solve for x
    x = 655,737,170,176/374,912
  6. Step 6: Final answer
    x = 1,749,042.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.