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Finding the Third Proportional to 145,126.69 and 218,541.38

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Solution

The third proportional to 145,126.69 and 218,541.38 is: 329,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,126.69 : 218,541.38 = 218,541.38 : x
  2. Step 2: Convert to fraction form
    145,126.69/218,541.38 = 218,541.38/x
  3. Step 3: Cross multiply
    145,126.69x = 218,541.38 × 218,541.38
  4. Step 4: Simplify right side
    145,126.69x = 47,760,332,586.89
  5. Step 5: Solve for x
    x = 47,760,332,586.89/145,126.69
  6. Step 6: Final answer
    x = 329,094.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.