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Finding the Third Proportional to 676,599 and 1,409,174

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Solution

The third proportional to 676,599 and 1,409,174 is: 2,934,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,599 : 1,409,174 = 1,409,174 : x
  2. Step 2: Convert to fraction form
    676,599/1,409,174 = 1,409,174/x
  3. Step 3: Cross multiply
    676,599x = 1,409,174 × 1,409,174
  4. Step 4: Simplify right side
    676,599x = 1,985,771,362,276
  5. Step 5: Solve for x
    x = 1,985,771,362,276/676,599
  6. Step 6: Final answer
    x = 2,934,930.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.