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Finding the Third Proportional to 261,378 and 384,411

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Solution

The third proportional to 261,378 and 384,411 is: 565,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,378 : 384,411 = 384,411 : x
  2. Step 2: Convert to fraction form
    261,378/384,411 = 384,411/x
  3. Step 3: Cross multiply
    261,378x = 384,411 × 384,411
  4. Step 4: Simplify right side
    261,378x = 147,771,816,921
  5. Step 5: Solve for x
    x = 147,771,816,921/261,378
  6. Step 6: Final answer
    x = 565,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.