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Finding the Third Proportional to 688,296 and 1,036,609

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Solution

The third proportional to 688,296 and 1,036,609 is: 1,561,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,296 : 1,036,609 = 1,036,609 : x
  2. Step 2: Convert to fraction form
    688,296/1,036,609 = 1,036,609/x
  3. Step 3: Cross multiply
    688,296x = 1,036,609 × 1,036,609
  4. Step 4: Simplify right side
    688,296x = 1,074,558,218,881
  5. Step 5: Solve for x
    x = 1,074,558,218,881/688,296
  6. Step 6: Final answer
    x = 1,561,186.20

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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.