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Finding the Third Proportional to 407,228 and 877,560

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Solution

The third proportional to 407,228 and 877,560 is: 1,891,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,228 : 877,560 = 877,560 : x
  2. Step 2: Convert to fraction form
    407,228/877,560 = 877,560/x
  3. Step 3: Cross multiply
    407,228x = 877,560 × 877,560
  4. Step 4: Simplify right side
    407,228x = 770,111,553,600
  5. Step 5: Solve for x
    x = 770,111,553,600/407,228
  6. Step 6: Final answer
    x = 1,891,106.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.