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Finding the Third Proportional to 153,680 and 237,336

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Solution

The third proportional to 153,680 and 237,336 is: 366,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,680 : 237,336 = 237,336 : x
  2. Step 2: Convert to fraction form
    153,680/237,336 = 237,336/x
  3. Step 3: Cross multiply
    153,680x = 237,336 × 237,336
  4. Step 4: Simplify right side
    153,680x = 56,328,376,896
  5. Step 5: Solve for x
    x = 56,328,376,896/153,680
  6. Step 6: Final answer
    x = 366,530.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.