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Finding the Third Proportional to 47,712 and 103,280

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Solution

The third proportional to 47,712 and 103,280 is: 223,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 103,280 = 103,280 : x
  2. Step 2: Convert to fraction form
    47,712/103,280 = 103,280/x
  3. Step 3: Cross multiply
    47,712x = 103,280 × 103,280
  4. Step 4: Simplify right side
    47,712x = 10,666,758,400
  5. Step 5: Solve for x
    x = 10,666,758,400/47,712
  6. Step 6: Final answer
    x = 223,565.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.