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Finding the Third Proportional to 261,553 and 554,491

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Solution

The third proportional to 261,553 and 554,491 is: 1,175,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,553 : 554,491 = 554,491 : x
  2. Step 2: Convert to fraction form
    261,553/554,491 = 554,491/x
  3. Step 3: Cross multiply
    261,553x = 554,491 × 554,491
  4. Step 4: Simplify right side
    261,553x = 307,460,269,081
  5. Step 5: Solve for x
    x = 307,460,269,081/261,553
  6. Step 6: Final answer
    x = 1,175,518.04

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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.