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Finding the Third Proportional to 261,144 and 571,491

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Solution

The third proportional to 261,144 and 571,491 is: 1,250,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,144 : 571,491 = 571,491 : x
  2. Step 2: Convert to fraction form
    261,144/571,491 = 571,491/x
  3. Step 3: Cross multiply
    261,144x = 571,491 × 571,491
  4. Step 4: Simplify right side
    261,144x = 326,601,963,081
  5. Step 5: Solve for x
    x = 326,601,963,081/261,144
  6. Step 6: Final answer
    x = 1,250,658.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.