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Finding the Third Proportional to 376,838 and 808,270

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Solution

The third proportional to 376,838 and 808,270 is: 1,733,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,838 : 808,270 = 808,270 : x
  2. Step 2: Convert to fraction form
    376,838/808,270 = 808,270/x
  3. Step 3: Cross multiply
    376,838x = 808,270 × 808,270
  4. Step 4: Simplify right side
    376,838x = 653,300,392,900
  5. Step 5: Solve for x
    x = 653,300,392,900/376,838
  6. Step 6: Final answer
    x = 1,733,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.