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Finding the Third Proportional to 153,038 and 238,629

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Solution

The third proportional to 153,038 and 238,629 is: 372,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,038 : 238,629 = 238,629 : x
  2. Step 2: Convert to fraction form
    153,038/238,629 = 238,629/x
  3. Step 3: Cross multiply
    153,038x = 238,629 × 238,629
  4. Step 4: Simplify right side
    153,038x = 56,943,799,641
  5. Step 5: Solve for x
    x = 56,943,799,641/153,038
  6. Step 6: Final answer
    x = 372,089.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.