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Finding the Third Proportional to 77,428 and 115,838

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Solution

The third proportional to 77,428 and 115,838 is: 173,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,428 : 115,838 = 115,838 : x
  2. Step 2: Convert to fraction form
    77,428/115,838 = 115,838/x
  3. Step 3: Cross multiply
    77,428x = 115,838 × 115,838
  4. Step 4: Simplify right side
    77,428x = 13,418,442,244
  5. Step 5: Solve for x
    x = 13,418,442,244/77,428
  6. Step 6: Final answer
    x = 173,302.19

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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.