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Finding the Third Proportional to 70,138 and 153,128

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Solution

The third proportional to 70,138 and 153,128 is: 334,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138 : 153,128 = 153,128 : x
  2. Step 2: Convert to fraction form
    70,138/153,128 = 153,128/x
  3. Step 3: Cross multiply
    70,138x = 153,128 × 153,128
  4. Step 4: Simplify right side
    70,138x = 23,448,184,384
  5. Step 5: Solve for x
    x = 23,448,184,384/70,138
  6. Step 6: Final answer
    x = 334,314.98

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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.