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Finding the Third Proportional to 74,151 and 153,207

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Solution

The third proportional to 74,151 and 153,207 is: 316,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,151 : 153,207 = 153,207 : x
  2. Step 2: Convert to fraction form
    74,151/153,207 = 153,207/x
  3. Step 3: Cross multiply
    74,151x = 153,207 × 153,207
  4. Step 4: Simplify right side
    74,151x = 23,472,384,849
  5. Step 5: Solve for x
    x = 23,472,384,849/74,151
  6. Step 6: Final answer
    x = 316,548.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.