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Finding the Third Proportional to 321,459 and 700,062

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Solution

The third proportional to 321,459 and 700,062 is: 1,524,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,459 : 700,062 = 700,062 : x
  2. Step 2: Convert to fraction form
    321,459/700,062 = 700,062/x
  3. Step 3: Cross multiply
    321,459x = 700,062 × 700,062
  4. Step 4: Simplify right side
    321,459x = 490,086,803,844
  5. Step 5: Solve for x
    x = 490,086,803,844/321,459
  6. Step 6: Final answer
    x = 1,524,570.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.