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Finding the Third Proportional to 158,128 and 345,440

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Solution

The third proportional to 158,128 and 345,440 is: 754,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,128 : 345,440 = 345,440 : x
  2. Step 2: Convert to fraction form
    158,128/345,440 = 345,440/x
  3. Step 3: Cross multiply
    158,128x = 345,440 × 345,440
  4. Step 4: Simplify right side
    158,128x = 119,328,793,600
  5. Step 5: Solve for x
    x = 119,328,793,600/158,128
  6. Step 6: Final answer
    x = 754,634.18

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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.