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Finding the Third Proportional to 63,192 and 138,255

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Solution

The third proportional to 63,192 and 138,255 is: 302,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,192 : 138,255 = 138,255 : x
  2. Step 2: Convert to fraction form
    63,192/138,255 = 138,255/x
  3. Step 3: Cross multiply
    63,192x = 138,255 × 138,255
  4. Step 4: Simplify right side
    63,192x = 19,114,445,025
  5. Step 5: Solve for x
    x = 19,114,445,025/63,192
  6. Step 6: Final answer
    x = 302,482.04

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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.