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Finding the Third Proportional to 51,748 and 77,878

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Solution

The third proportional to 51,748 and 77,878 is: 117,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,748 : 77,878 = 77,878 : x
  2. Step 2: Convert to fraction form
    51,748/77,878 = 77,878/x
  3. Step 3: Cross multiply
    51,748x = 77,878 × 77,878
  4. Step 4: Simplify right side
    51,748x = 6,064,982,884
  5. Step 5: Solve for x
    x = 6,064,982,884/51,748
  6. Step 6: Final answer
    x = 117,202.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.