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Finding the Third Proportional to 153,282 and 239,235

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Solution

The third proportional to 153,282 and 239,235 is: 373,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,282 : 239,235 = 239,235 : x
  2. Step 2: Convert to fraction form
    153,282/239,235 = 239,235/x
  3. Step 3: Cross multiply
    153,282x = 239,235 × 239,235
  4. Step 4: Simplify right side
    153,282x = 57,233,385,225
  5. Step 5: Solve for x
    x = 57,233,385,225/153,282
  6. Step 6: Final answer
    x = 373,386.21

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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.