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Finding the Third Proportional to 84,306.56 and 183,485.06

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Solution

The third proportional to 84,306.56 and 183,485.06 is: 399,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306.56 : 183,485.06 = 183,485.06 : x
  2. Step 2: Convert to fraction form
    84,306.56/183,485.06 = 183,485.06/x
  3. Step 3: Cross multiply
    84,306.56x = 183,485.06 × 183,485.06
  4. Step 4: Simplify right side
    84,306.56x = 33,666,768,160.63
  5. Step 5: Solve for x
    x = 33,666,768,160.63/84,306.56
  6. Step 6: Final answer
    x = 399,337.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.