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Finding the Third Proportional to 175,128 and 385,248

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Solution

The third proportional to 175,128 and 385,248 is: 847,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,128 : 385,248 = 385,248 : x
  2. Step 2: Convert to fraction form
    175,128/385,248 = 385,248/x
  3. Step 3: Cross multiply
    175,128x = 385,248 × 385,248
  4. Step 4: Simplify right side
    175,128x = 148,416,021,504
  5. Step 5: Solve for x
    x = 148,416,021,504/175,128
  6. Step 6: Final answer
    x = 847,471.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.