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Finding the Third Proportional to 117,865.13 and 247,277.81

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Solution

The third proportional to 117,865.13 and 247,277.81 is: 518,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,865.13 : 247,277.81 = 247,277.81 : x
  2. Step 2: Convert to fraction form
    117,865.13/247,277.81 = 247,277.81/x
  3. Step 3: Cross multiply
    117,865.13x = 247,277.81 × 247,277.81
  4. Step 4: Simplify right side
    117,865.13x = 61,146,316,554.79
  5. Step 5: Solve for x
    x = 61,146,316,554.79/117,865.13
  6. Step 6: Final answer
    x = 518,782.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.