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Finding the Third Proportional to 153,222 and 329,784

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Solution

The third proportional to 153,222 and 329,784 is: 709,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,222 : 329,784 = 329,784 : x
  2. Step 2: Convert to fraction form
    153,222/329,784 = 329,784/x
  3. Step 3: Cross multiply
    153,222x = 329,784 × 329,784
  4. Step 4: Simplify right side
    153,222x = 108,757,486,656
  5. Step 5: Solve for x
    x = 108,757,486,656/153,222
  6. Step 6: Final answer
    x = 709,803.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.