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Finding the Third Proportional to 261,477 and 368,209.13

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Solution

The third proportional to 261,477 and 368,209.13 is: 518,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,477 : 368,209.13 = 368,209.13 : x
  2. Step 2: Convert to fraction form
    261,477/368,209.13 = 368,209.13/x
  3. Step 3: Cross multiply
    261,477x = 368,209.13 × 368,209.13
  4. Step 4: Simplify right side
    261,477x = 135,577,959,733.27
  5. Step 5: Solve for x
    x = 135,577,959,733.27/261,477
  6. Step 6: Final answer
    x = 518,508.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.