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Finding the Third Proportional to 76,456 and 163,280

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Solution

The third proportional to 76,456 and 163,280 is: 348,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,456 : 163,280 = 163,280 : x
  2. Step 2: Convert to fraction form
    76,456/163,280 = 163,280/x
  3. Step 3: Cross multiply
    76,456x = 163,280 × 163,280
  4. Step 4: Simplify right side
    76,456x = 26,660,358,400
  5. Step 5: Solve for x
    x = 26,660,358,400/76,456
  6. Step 6: Final answer
    x = 348,701.98

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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.