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Finding the Third Proportional to 422,719 and 880,335

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Solution

The third proportional to 422,719 and 880,335 is: 1,833,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,719 : 880,335 = 880,335 : x
  2. Step 2: Convert to fraction form
    422,719/880,335 = 880,335/x
  3. Step 3: Cross multiply
    422,719x = 880,335 × 880,335
  4. Step 4: Simplify right side
    422,719x = 774,989,712,225
  5. Step 5: Solve for x
    x = 774,989,712,225/422,719
  6. Step 6: Final answer
    x = 1,833,344.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.