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Finding the Third Proportional to 179,669 and 392,971

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Solution

The third proportional to 179,669 and 392,971 is: 859,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,669 : 392,971 = 392,971 : x
  2. Step 2: Convert to fraction form
    179,669/392,971 = 392,971/x
  3. Step 3: Cross multiply
    179,669x = 392,971 × 392,971
  4. Step 4: Simplify right side
    179,669x = 154,426,206,841
  5. Step 5: Solve for x
    x = 154,426,206,841/179,669
  6. Step 6: Final answer
    x = 859,503.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.