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Finding the Third Proportional to 70,146 and 169,047

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Solution

The third proportional to 70,146 and 169,047 is: 407,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146 : 169,047 = 169,047 : x
  2. Step 2: Convert to fraction form
    70,146/169,047 = 169,047/x
  3. Step 3: Cross multiply
    70,146x = 169,047 × 169,047
  4. Step 4: Simplify right side
    70,146x = 28,576,888,209
  5. Step 5: Solve for x
    x = 28,576,888,209/70,146
  6. Step 6: Final answer
    x = 407,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.