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Finding the Third Proportional to 53,289 and 113,862

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Solution

The third proportional to 53,289 and 113,862 is: 243,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,289 : 113,862 = 113,862 : x
  2. Step 2: Convert to fraction form
    53,289/113,862 = 113,862/x
  3. Step 3: Cross multiply
    53,289x = 113,862 × 113,862
  4. Step 4: Simplify right side
    53,289x = 12,964,555,044
  5. Step 5: Solve for x
    x = 12,964,555,044/53,289
  6. Step 6: Final answer
    x = 243,287.64

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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.