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Finding the Third Proportional to 76,478.34 and 168,248.81

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Solution

The third proportional to 76,478.34 and 168,248.81 is: 370,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.34 : 168,248.81 = 168,248.81 : x
  2. Step 2: Convert to fraction form
    76,478.34/168,248.81 = 168,248.81/x
  3. Step 3: Cross multiply
    76,478.34x = 168,248.81 × 168,248.81
  4. Step 4: Simplify right side
    76,478.34x = 28,307,662,907.66
  5. Step 5: Solve for x
    x = 28,307,662,907.66/76,478.34
  6. Step 6: Final answer
    x = 370,139.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.