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Finding the Third Proportional to 183,143 and 392,569

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Solution

The third proportional to 183,143 and 392,569 is: 841,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,143 : 392,569 = 392,569 : x
  2. Step 2: Convert to fraction form
    183,143/392,569 = 392,569/x
  3. Step 3: Cross multiply
    183,143x = 392,569 × 392,569
  4. Step 4: Simplify right side
    183,143x = 154,110,419,761
  5. Step 5: Solve for x
    x = 154,110,419,761/183,143
  6. Step 6: Final answer
    x = 841,475.89

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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.