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Finding the Third Proportional to 158,769 and 343,415

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Solution

The third proportional to 158,769 and 343,415 is: 742,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,769 : 343,415 = 343,415 : x
  2. Step 2: Convert to fraction form
    158,769/343,415 = 343,415/x
  3. Step 3: Cross multiply
    158,769x = 343,415 × 343,415
  4. Step 4: Simplify right side
    158,769x = 117,933,862,225
  5. Step 5: Solve for x
    x = 117,933,862,225/158,769
  6. Step 6: Final answer
    x = 742,801.57

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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.