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Finding the Third Proportional to 261,810 and 543,048

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Solution

The third proportional to 261,810 and 543,048 is: 1,126,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810 : 543,048 = 543,048 : x
  2. Step 2: Convert to fraction form
    261,810/543,048 = 543,048/x
  3. Step 3: Cross multiply
    261,810x = 543,048 × 543,048
  4. Step 4: Simplify right side
    261,810x = 294,901,130,304
  5. Step 5: Solve for x
    x = 294,901,130,304/261,810
  6. Step 6: Final answer
    x = 1,126,393.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.