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Finding the Third Proportional to 406,240 and 880,276

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Solution

The third proportional to 406,240 and 880,276 is: 1,907,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,240 : 880,276 = 880,276 : x
  2. Step 2: Convert to fraction form
    406,240/880,276 = 880,276/x
  3. Step 3: Cross multiply
    406,240x = 880,276 × 880,276
  4. Step 4: Simplify right side
    406,240x = 774,885,836,176
  5. Step 5: Solve for x
    x = 774,885,836,176/406,240
  6. Step 6: Final answer
    x = 1,907,458.24

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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.