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Finding the Third Proportional to 415,781 and 880,639

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Solution

The third proportional to 415,781 and 880,639 is: 1,865,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,781 : 880,639 = 880,639 : x
  2. Step 2: Convert to fraction form
    415,781/880,639 = 880,639/x
  3. Step 3: Cross multiply
    415,781x = 880,639 × 880,639
  4. Step 4: Simplify right side
    415,781x = 775,525,048,321
  5. Step 5: Solve for x
    x = 775,525,048,321/415,781
  6. Step 6: Final answer
    x = 1,865,224.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.