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Finding the Third Proportional to 382,276 and 810,128

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Solution

The third proportional to 382,276 and 810,128 is: 1,716,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276 : 810,128 = 810,128 : x
  2. Step 2: Convert to fraction form
    382,276/810,128 = 810,128/x
  3. Step 3: Cross multiply
    382,276x = 810,128 × 810,128
  4. Step 4: Simplify right side
    382,276x = 656,307,376,384
  5. Step 5: Solve for x
    x = 656,307,376,384/382,276
  6. Step 6: Final answer
    x = 1,716,841.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.