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Finding the Third Proportional to 76,485.47 and 163,480.39

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Solution

The third proportional to 76,485.47 and 163,480.39 is: 349,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485.47 : 163,480.39 = 163,480.39 : x
  2. Step 2: Convert to fraction form
    76,485.47/163,480.39 = 163,480.39/x
  3. Step 3: Cross multiply
    76,485.47x = 163,480.39 × 163,480.39
  4. Step 4: Simplify right side
    76,485.47x = 26,725,836,522.42
  5. Step 5: Solve for x
    x = 26,725,836,522.42/76,485.47
  6. Step 6: Final answer
    x = 349,423.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.