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Finding the Third Proportional to 158,468 and 345,368

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Solution

The third proportional to 158,468 and 345,368 is: 752,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,468 : 345,368 = 345,368 : x
  2. Step 2: Convert to fraction form
    158,468/345,368 = 345,368/x
  3. Step 3: Cross multiply
    158,468x = 345,368 × 345,368
  4. Step 4: Simplify right side
    158,468x = 119,279,055,424
  5. Step 5: Solve for x
    x = 119,279,055,424/158,468
  6. Step 6: Final answer
    x = 752,701.21

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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.