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Finding the Third Proportional to 407,270 and 877,720

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Solution

The third proportional to 407,270 and 877,720 is: 1,891,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,270 : 877,720 = 877,720 : x
  2. Step 2: Convert to fraction form
    407,270/877,720 = 877,720/x
  3. Step 3: Cross multiply
    407,270x = 877,720 × 877,720
  4. Step 4: Simplify right side
    407,270x = 770,392,398,400
  5. Step 5: Solve for x
    x = 770,392,398,400/407,270
  6. Step 6: Final answer
    x = 1,891,601.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.