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Finding the Third Proportional to 70,712 and 148,695

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Solution

The third proportional to 70,712 and 148,695 is: 312,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,712 : 148,695 = 148,695 : x
  2. Step 2: Convert to fraction form
    70,712/148,695 = 148,695/x
  3. Step 3: Cross multiply
    70,712x = 148,695 × 148,695
  4. Step 4: Simplify right side
    70,712x = 22,110,203,025
  5. Step 5: Solve for x
    x = 22,110,203,025/70,712
  6. Step 6: Final answer
    x = 312,679.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.