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Finding the Third Proportional to 175,278 and 383,720

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Solution

The third proportional to 175,278 and 383,720 is: 840,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,278 : 383,720 = 383,720 : x
  2. Step 2: Convert to fraction form
    175,278/383,720 = 383,720/x
  3. Step 3: Cross multiply
    175,278x = 383,720 × 383,720
  4. Step 4: Simplify right side
    175,278x = 147,241,038,400
  5. Step 5: Solve for x
    x = 147,241,038,400/175,278
  6. Step 6: Final answer
    x = 840,042.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.