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Finding the Third Proportional to 406,230 and 880,257

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Solution

The third proportional to 406,230 and 880,257 is: 1,907,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,230 : 880,257 = 880,257 : x
  2. Step 2: Convert to fraction form
    406,230/880,257 = 880,257/x
  3. Step 3: Cross multiply
    406,230x = 880,257 × 880,257
  4. Step 4: Simplify right side
    406,230x = 774,852,386,049
  5. Step 5: Solve for x
    x = 774,852,386,049/406,230
  6. Step 6: Final answer
    x = 1,907,422.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.