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Finding the Third Proportional to 63,490 and 136,716

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Solution

The third proportional to 63,490 and 136,716 is: 294,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,490 : 136,716 = 136,716 : x
  2. Step 2: Convert to fraction form
    63,490/136,716 = 136,716/x
  3. Step 3: Cross multiply
    63,490x = 136,716 × 136,716
  4. Step 4: Simplify right side
    63,490x = 18,691,264,656
  5. Step 5: Solve for x
    x = 18,691,264,656/63,490
  6. Step 6: Final answer
    x = 294,396.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.