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Finding the Third Proportional to 158,820 and 349,129

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Solution

The third proportional to 158,820 and 349,129 is: 767,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,820 : 349,129 = 349,129 : x
  2. Step 2: Convert to fraction form
    158,820/349,129 = 349,129/x
  3. Step 3: Cross multiply
    158,820x = 349,129 × 349,129
  4. Step 4: Simplify right side
    158,820x = 121,891,058,641
  5. Step 5: Solve for x
    x = 121,891,058,641/158,820
  6. Step 6: Final answer
    x = 767,479.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.