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Finding the Third Proportional to 124,282.50 and 194,420.63

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Solution

The third proportional to 124,282.50 and 194,420.63 is: 304,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,282.50 : 194,420.63 = 194,420.63 : x
  2. Step 2: Convert to fraction form
    124,282.50/194,420.63 = 194,420.63/x
  3. Step 3: Cross multiply
    124,282.50x = 194,420.63 × 194,420.63
  4. Step 4: Simplify right side
    124,282.50x = 37,799,379,425.39
  5. Step 5: Solve for x
    x = 37,799,379,425.39/124,282.50
  6. Step 6: Final answer
    x = 304,140.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.