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Finding the Third Proportional to 70,142 and 151,582

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Solution

The third proportional to 70,142 and 151,582 is: 327,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142 : 151,582 = 151,582 : x
  2. Step 2: Convert to fraction form
    70,142/151,582 = 151,582/x
  3. Step 3: Cross multiply
    70,142x = 151,582 × 151,582
  4. Step 4: Simplify right side
    70,142x = 22,977,102,724
  5. Step 5: Solve for x
    x = 22,977,102,724/70,142
  6. Step 6: Final answer
    x = 327,579.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.