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Finding the Third Proportional to 288,458 and 631,206

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Solution

The third proportional to 288,458 and 631,206 is: 1,381,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,458 : 631,206 = 631,206 : x
  2. Step 2: Convert to fraction form
    288,458/631,206 = 631,206/x
  3. Step 3: Cross multiply
    288,458x = 631,206 × 631,206
  4. Step 4: Simplify right side
    288,458x = 398,421,014,436
  5. Step 5: Solve for x
    x = 398,421,014,436/288,458
  6. Step 6: Final answer
    x = 1,381,209.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.