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Finding the Third Proportional to 288,162 and 620,712

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Solution

The third proportional to 288,162 and 620,712 is: 1,337,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,162 : 620,712 = 620,712 : x
  2. Step 2: Convert to fraction form
    288,162/620,712 = 620,712/x
  3. Step 3: Cross multiply
    288,162x = 620,712 × 620,712
  4. Step 4: Simplify right side
    288,162x = 385,283,386,944
  5. Step 5: Solve for x
    x = 385,283,386,944/288,162
  6. Step 6: Final answer
    x = 1,337,037.45

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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.