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Finding the Third Proportional to 261,480 and 368,213

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Solution

The third proportional to 261,480 and 368,213 is: 518,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,480 : 368,213 = 368,213 : x
  2. Step 2: Convert to fraction form
    261,480/368,213 = 368,213/x
  3. Step 3: Cross multiply
    261,480x = 368,213 × 368,213
  4. Step 4: Simplify right side
    261,480x = 135,580,813,369
  5. Step 5: Solve for x
    x = 135,580,813,369/261,480
  6. Step 6: Final answer
    x = 518,513.13

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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.