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Finding the Third Proportional to 89,646.75 and 121,808.81

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Solution

The third proportional to 89,646.75 and 121,808.81 is: 165,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,646.75 : 121,808.81 = 121,808.81 : x
  2. Step 2: Convert to fraction form
    89,646.75/121,808.81 = 121,808.81/x
  3. Step 3: Cross multiply
    89,646.75x = 121,808.81 × 121,808.81
  4. Step 4: Simplify right side
    89,646.75x = 14,837,386,802.66
  5. Step 5: Solve for x
    x = 14,837,386,802.66/89,646.75
  6. Step 6: Final answer
    x = 165,509.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.