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Finding the Third Proportional to 153,803 and 329,476

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Solution

The third proportional to 153,803 and 329,476 is: 705,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,803 : 329,476 = 329,476 : x
  2. Step 2: Convert to fraction form
    153,803/329,476 = 329,476/x
  3. Step 3: Cross multiply
    153,803x = 329,476 × 329,476
  4. Step 4: Simplify right side
    153,803x = 108,554,434,576
  5. Step 5: Solve for x
    x = 108,554,434,576/153,803
  6. Step 6: Final answer
    x = 705,801.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.