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Finding the Third Proportional to 305,859 and 658,590

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Solution

The third proportional to 305,859 and 658,590 is: 1,418,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859 : 658,590 = 658,590 : x
  2. Step 2: Convert to fraction form
    305,859/658,590 = 658,590/x
  3. Step 3: Cross multiply
    305,859x = 658,590 × 658,590
  4. Step 4: Simplify right side
    305,859x = 433,740,788,100
  5. Step 5: Solve for x
    x = 433,740,788,100/305,859
  6. Step 6: Final answer
    x = 1,418,107.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.