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Finding the Third Proportional to 245,211 and 516,666

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Solution

The third proportional to 245,211 and 516,666 is: 1,088,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,211 : 516,666 = 516,666 : x
  2. Step 2: Convert to fraction form
    245,211/516,666 = 516,666/x
  3. Step 3: Cross multiply
    245,211x = 516,666 × 516,666
  4. Step 4: Simplify right side
    245,211x = 266,943,755,556
  5. Step 5: Solve for x
    x = 266,943,755,556/245,211
  6. Step 6: Final answer
    x = 1,088,628.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.