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Finding the Third Proportional to 261,399 and 387,240

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Solution

The third proportional to 261,399 and 387,240 is: 573,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,399 : 387,240 = 387,240 : x
  2. Step 2: Convert to fraction form
    261,399/387,240 = 387,240/x
  3. Step 3: Cross multiply
    261,399x = 387,240 × 387,240
  4. Step 4: Simplify right side
    261,399x = 149,954,817,600
  5. Step 5: Solve for x
    x = 149,954,817,600/261,399
  6. Step 6: Final answer
    x = 573,662.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.