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Finding the Third Proportional to 121,402.69 and 183,812.06

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Solution

The third proportional to 121,402.69 and 183,812.06 is: 278,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,402.69 : 183,812.06 = 183,812.06 : x
  2. Step 2: Convert to fraction form
    121,402.69/183,812.06 = 183,812.06/x
  3. Step 3: Cross multiply
    121,402.69x = 183,812.06 × 183,812.06
  4. Step 4: Simplify right side
    121,402.69x = 33,786,874,320.50
  5. Step 5: Solve for x
    x = 33,786,874,320.50/121,402.69
  6. Step 6: Final answer
    x = 278,304.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.