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Finding the Third Proportional to 145,785 and 238,054

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Solution

The third proportional to 145,785 and 238,054 is: 388,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,785 : 238,054 = 238,054 : x
  2. Step 2: Convert to fraction form
    145,785/238,054 = 238,054/x
  3. Step 3: Cross multiply
    145,785x = 238,054 × 238,054
  4. Step 4: Simplify right side
    145,785x = 56,669,706,916
  5. Step 5: Solve for x
    x = 56,669,706,916/145,785
  6. Step 6: Final answer
    x = 388,721.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.