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Finding the Third Proportional to 63,830 and 136,348

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Solution

The third proportional to 63,830 and 136,348 is: 291,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,830 : 136,348 = 136,348 : x
  2. Step 2: Convert to fraction form
    63,830/136,348 = 136,348/x
  3. Step 3: Cross multiply
    63,830x = 136,348 × 136,348
  4. Step 4: Simplify right side
    63,830x = 18,590,777,104
  5. Step 5: Solve for x
    x = 18,590,777,104/63,830
  6. Step 6: Final answer
    x = 291,254.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.