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Finding the Third Proportional to 114,712 and 278,992

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Solution

The third proportional to 114,712 and 278,992 is: 678,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712 : 278,992 = 278,992 : x
  2. Step 2: Convert to fraction form
    114,712/278,992 = 278,992/x
  3. Step 3: Cross multiply
    114,712x = 278,992 × 278,992
  4. Step 4: Simplify right side
    114,712x = 77,836,536,064
  5. Step 5: Solve for x
    x = 77,836,536,064/114,712
  6. Step 6: Final answer
    x = 678,538.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.