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Finding the Third Proportional to 280,971 and 446,887

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Solution

The third proportional to 280,971 and 446,887 is: 710,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,971 : 446,887 = 446,887 : x
  2. Step 2: Convert to fraction form
    280,971/446,887 = 446,887/x
  3. Step 3: Cross multiply
    280,971x = 446,887 × 446,887
  4. Step 4: Simplify right side
    280,971x = 199,707,990,769
  5. Step 5: Solve for x
    x = 199,707,990,769/280,971
  6. Step 6: Final answer
    x = 710,777.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.