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Finding the Third Proportional to 261,378 and 572,557

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Solution

The third proportional to 261,378 and 572,557 is: 1,254,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,378 : 572,557 = 572,557 : x
  2. Step 2: Convert to fraction form
    261,378/572,557 = 572,557/x
  3. Step 3: Cross multiply
    261,378x = 572,557 × 572,557
  4. Step 4: Simplify right side
    261,378x = 327,821,518,249
  5. Step 5: Solve for x
    x = 327,821,518,249/261,378
  6. Step 6: Final answer
    x = 1,254,204.71

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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.