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Finding the Third Proportional to 56,490 and 121,728

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Solution

The third proportional to 56,490 and 121,728 is: 262,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490 : 121,728 = 121,728 : x
  2. Step 2: Convert to fraction form
    56,490/121,728 = 121,728/x
  3. Step 3: Cross multiply
    56,490x = 121,728 × 121,728
  4. Step 4: Simplify right side
    56,490x = 14,817,705,984
  5. Step 5: Solve for x
    x = 14,817,705,984/56,490
  6. Step 6: Final answer
    x = 262,306.71

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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.