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Finding the Third Proportional to 155,363 and 331,062

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Solution

The third proportional to 155,363 and 331,062 is: 705,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,363 : 331,062 = 331,062 : x
  2. Step 2: Convert to fraction form
    155,363/331,062 = 331,062/x
  3. Step 3: Cross multiply
    155,363x = 331,062 × 331,062
  4. Step 4: Simplify right side
    155,363x = 109,602,047,844
  5. Step 5: Solve for x
    x = 109,602,047,844/155,363
  6. Step 6: Final answer
    x = 705,457.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.