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Finding the Third Proportional to 245,813 and 516,346

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Solution

The third proportional to 245,813 and 516,346 is: 1,084,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,813 : 516,346 = 516,346 : x
  2. Step 2: Convert to fraction form
    245,813/516,346 = 516,346/x
  3. Step 3: Cross multiply
    245,813x = 516,346 × 516,346
  4. Step 4: Simplify right side
    245,813x = 266,613,191,716
  5. Step 5: Solve for x
    x = 266,613,191,716/245,813
  6. Step 6: Final answer
    x = 1,084,617.95

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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.