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Finding the Third Proportional to 543,128 and 823,438

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Solution

The third proportional to 543,128 and 823,438 is: 1,248,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,128 : 823,438 = 823,438 : x
  2. Step 2: Convert to fraction form
    543,128/823,438 = 823,438/x
  3. Step 3: Cross multiply
    543,128x = 823,438 × 823,438
  4. Step 4: Simplify right side
    543,128x = 678,050,139,844
  5. Step 5: Solve for x
    x = 678,050,139,844/543,128
  6. Step 6: Final answer
    x = 1,248,416.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.