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Finding the Third Proportional to 153,490 and 331,172

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Solution

The third proportional to 153,490 and 331,172 is: 714,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,490 : 331,172 = 331,172 : x
  2. Step 2: Convert to fraction form
    153,490/331,172 = 331,172/x
  3. Step 3: Cross multiply
    153,490x = 331,172 × 331,172
  4. Step 4: Simplify right side
    153,490x = 109,674,893,584
  5. Step 5: Solve for x
    x = 109,674,893,584/153,490
  6. Step 6: Final answer
    x = 714,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.