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Finding the Third Proportional to 51,842 and 77,438.50

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Solution

The third proportional to 51,842 and 77,438.50 is: 115,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 77,438.50 = 77,438.50 : x
  2. Step 2: Convert to fraction form
    51,842/77,438.50 = 77,438.50/x
  3. Step 3: Cross multiply
    51,842x = 77,438.50 × 77,438.50
  4. Step 4: Simplify right side
    51,842x = 5,996,721,282.25
  5. Step 5: Solve for x
    x = 5,996,721,282.25/51,842
  6. Step 6: Final answer
    x = 115,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.