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Finding the Third Proportional to 153,592 and 238,384

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Solution

The third proportional to 153,592 and 238,384 is: 369,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,592 : 238,384 = 238,384 : x
  2. Step 2: Convert to fraction form
    153,592/238,384 = 238,384/x
  3. Step 3: Cross multiply
    153,592x = 238,384 × 238,384
  4. Step 4: Simplify right side
    153,592x = 56,826,931,456
  5. Step 5: Solve for x
    x = 56,826,931,456/153,592
  6. Step 6: Final answer
    x = 369,986.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.