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Finding the Third Proportional to 245,811 and 516,342

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Solution

The third proportional to 245,811 and 516,342 is: 1,084,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,811 : 516,342 = 516,342 : x
  2. Step 2: Convert to fraction form
    245,811/516,342 = 516,342/x
  3. Step 3: Cross multiply
    245,811x = 516,342 × 516,342
  4. Step 4: Simplify right side
    245,811x = 266,609,060,964
  5. Step 5: Solve for x
    x = 266,609,060,964/245,811
  6. Step 6: Final answer
    x = 1,084,609.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.