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Finding the Third Proportional to 116,101.08 and 163,497.47

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Solution

The third proportional to 116,101.08 and 163,497.47 is: 230,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,101.08 : 163,497.47 = 163,497.47 : x
  2. Step 2: Convert to fraction form
    116,101.08/163,497.47 = 163,497.47/x
  3. Step 3: Cross multiply
    116,101.08x = 163,497.47 × 163,497.47
  4. Step 4: Simplify right side
    116,101.08x = 26,731,423,245.65
  5. Step 5: Solve for x
    x = 26,731,423,245.65/116,101.08
  6. Step 6: Final answer
    x = 230,242.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.