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Finding the Third Proportional to 144,218 and 310,624

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Solution

The third proportional to 144,218 and 310,624 is: 669,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,218 : 310,624 = 310,624 : x
  2. Step 2: Convert to fraction form
    144,218/310,624 = 310,624/x
  3. Step 3: Cross multiply
    144,218x = 310,624 × 310,624
  4. Step 4: Simplify right side
    144,218x = 96,487,269,376
  5. Step 5: Solve for x
    x = 96,487,269,376/144,218
  6. Step 6: Final answer
    x = 669,037.63

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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.