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Finding the Third Proportional to 84,510 and 183,780

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Solution

The third proportional to 84,510 and 183,780 is: 399,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510 : 183,780 = 183,780 : x
  2. Step 2: Convert to fraction form
    84,510/183,780 = 183,780/x
  3. Step 3: Cross multiply
    84,510x = 183,780 × 183,780
  4. Step 4: Simplify right side
    84,510x = 33,775,088,400
  5. Step 5: Solve for x
    x = 33,775,088,400/84,510
  6. Step 6: Final answer
    x = 399,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.