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Finding the Third Proportional to 153,513 and 323,838

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Solution

The third proportional to 153,513 and 323,838 is: 683,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,513 : 323,838 = 323,838 : x
  2. Step 2: Convert to fraction form
    153,513/323,838 = 323,838/x
  3. Step 3: Cross multiply
    153,513x = 323,838 × 323,838
  4. Step 4: Simplify right side
    153,513x = 104,871,050,244
  5. Step 5: Solve for x
    x = 104,871,050,244/153,513
  6. Step 6: Final answer
    x = 683,141.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.