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Finding the Third Proportional to 322,471.13 and 690,140.25

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Solution

The third proportional to 322,471.13 and 690,140.25 is: 1,477,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,471.13 : 690,140.25 = 690,140.25 : x
  2. Step 2: Convert to fraction form
    322,471.13/690,140.25 = 690,140.25/x
  3. Step 3: Cross multiply
    322,471.13x = 690,140.25 × 690,140.25
  4. Step 4: Simplify right side
    322,471.13x = 476,293,564,670.06
  5. Step 5: Solve for x
    x = 476,293,564,670.06/322,471.13
  6. Step 6: Final answer
    x = 1,477,011.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.