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Finding the Third Proportional to 144,206 and 310,597

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Solution

The third proportional to 144,206 and 310,597 is: 668,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,206 : 310,597 = 310,597 : x
  2. Step 2: Convert to fraction form
    144,206/310,597 = 310,597/x
  3. Step 3: Cross multiply
    144,206x = 310,597 × 310,597
  4. Step 4: Simplify right side
    144,206x = 96,470,496,409
  5. Step 5: Solve for x
    x = 96,470,496,409/144,206
  6. Step 6: Final answer
    x = 668,976.99

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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.