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Finding the Third Proportional to 144,209 and 310,605

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Solution

The third proportional to 144,209 and 310,605 is: 668,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,209 : 310,605 = 310,605 : x
  2. Step 2: Convert to fraction form
    144,209/310,605 = 310,605/x
  3. Step 3: Cross multiply
    144,209x = 310,605 × 310,605
  4. Step 4: Simplify right side
    144,209x = 96,475,466,025
  5. Step 5: Solve for x
    x = 96,475,466,025/144,209
  6. Step 6: Final answer
    x = 668,997.54

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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.