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Finding the Third Proportional to 322,090 and 707,908

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Solution

The third proportional to 322,090 and 707,908 is: 1,555,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,090 : 707,908 = 707,908 : x
  2. Step 2: Convert to fraction form
    322,090/707,908 = 707,908/x
  3. Step 3: Cross multiply
    322,090x = 707,908 × 707,908
  4. Step 4: Simplify right side
    322,090x = 501,133,736,464
  5. Step 5: Solve for x
    x = 501,133,736,464/322,090
  6. Step 6: Final answer
    x = 1,555,881.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.