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Finding the Third Proportional to 280,895 and 614,340

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Solution

The third proportional to 280,895 and 614,340 is: 1,343,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,895 : 614,340 = 614,340 : x
  2. Step 2: Convert to fraction form
    280,895/614,340 = 614,340/x
  3. Step 3: Cross multiply
    280,895x = 614,340 × 614,340
  4. Step 4: Simplify right side
    280,895x = 377,413,635,600
  5. Step 5: Solve for x
    x = 377,413,635,600/280,895
  6. Step 6: Final answer
    x = 1,343,611.08

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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.