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Finding the Third Proportional to 56,486.81 and 121,721.63

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Solution

The third proportional to 56,486.81 and 121,721.63 is: 262,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486.81 : 121,721.63 = 121,721.63 : x
  2. Step 2: Convert to fraction form
    56,486.81/121,721.63 = 121,721.63/x
  3. Step 3: Cross multiply
    56,486.81x = 121,721.63 × 121,721.63
  4. Step 4: Simplify right side
    56,486.81x = 14,816,153,992.64
  5. Step 5: Solve for x
    x = 14,816,153,992.64/56,486.81
  6. Step 6: Final answer
    x = 262,294.04

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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.