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Finding the Third Proportional to 391,070 and 590,979

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Solution

The third proportional to 391,070 and 590,979 is: 893,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,070 : 590,979 = 590,979 : x
  2. Step 2: Convert to fraction form
    391,070/590,979 = 590,979/x
  3. Step 3: Cross multiply
    391,070x = 590,979 × 590,979
  4. Step 4: Simplify right side
    391,070x = 349,256,178,441
  5. Step 5: Solve for x
    x = 349,256,178,441/391,070
  6. Step 6: Final answer
    x = 893,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.