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Finding the Third Proportional to 70,431 and 146,709

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Solution

The third proportional to 70,431 and 146,709 is: 305,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431 : 146,709 = 146,709 : x
  2. Step 2: Convert to fraction form
    70,431/146,709 = 146,709/x
  3. Step 3: Cross multiply
    70,431x = 146,709 × 146,709
  4. Step 4: Simplify right side
    70,431x = 21,523,530,681
  5. Step 5: Solve for x
    x = 21,523,530,681/70,431
  6. Step 6: Final answer
    x = 305,597.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.