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Finding the Third Proportional to 261,792 and 565,408

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Solution

The third proportional to 261,792 and 565,408 is: 1,221,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792 : 565,408 = 565,408 : x
  2. Step 2: Convert to fraction form
    261,792/565,408 = 565,408/x
  3. Step 3: Cross multiply
    261,792x = 565,408 × 565,408
  4. Step 4: Simplify right side
    261,792x = 319,686,206,464
  5. Step 5: Solve for x
    x = 319,686,206,464/261,792
  6. Step 6: Final answer
    x = 1,221,145.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.