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Finding the Third Proportional to 322,213 and 706,399

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Solution

The third proportional to 322,213 and 706,399 is: 1,548,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,213 : 706,399 = 706,399 : x
  2. Step 2: Convert to fraction form
    322,213/706,399 = 706,399/x
  3. Step 3: Cross multiply
    322,213x = 706,399 × 706,399
  4. Step 4: Simplify right side
    322,213x = 498,999,547,201
  5. Step 5: Solve for x
    x = 498,999,547,201/322,213
  6. Step 6: Final answer
    x = 1,548,663.61

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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.