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Finding the Third Proportional to 147,709 and 322,153

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Solution

The third proportional to 147,709 and 322,153 is: 702,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,709 : 322,153 = 322,153 : x
  2. Step 2: Convert to fraction form
    147,709/322,153 = 322,153/x
  3. Step 3: Cross multiply
    147,709x = 322,153 × 322,153
  4. Step 4: Simplify right side
    147,709x = 103,782,555,409
  5. Step 5: Solve for x
    x = 103,782,555,409/147,709
  6. Step 6: Final answer
    x = 702,614.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.