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Finding the Third Proportional to 436,810 and 586,979

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Solution

The third proportional to 436,810 and 586,979 is: 788,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,810 : 586,979 = 586,979 : x
  2. Step 2: Convert to fraction form
    436,810/586,979 = 586,979/x
  3. Step 3: Cross multiply
    436,810x = 586,979 × 586,979
  4. Step 4: Simplify right side
    436,810x = 344,544,346,441
  5. Step 5: Solve for x
    x = 344,544,346,441/436,810
  6. Step 6: Final answer
    x = 788,773.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.