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Finding the Third Proportional to 69,378.38 and 148,598.63

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Solution

The third proportional to 69,378.38 and 148,598.63 is: 318,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,378.38 : 148,598.63 = 148,598.63 : x
  2. Step 2: Convert to fraction form
    69,378.38/148,598.63 = 148,598.63/x
  3. Step 3: Cross multiply
    69,378.38x = 148,598.63 × 148,598.63
  4. Step 4: Simplify right side
    69,378.38x = 22,081,551,351.89
  5. Step 5: Solve for x
    x = 22,081,551,351.89/69,378.38
  6. Step 6: Final answer
    x = 318,277.15

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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.