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Finding the Third Proportional to 318,609 and 688,841

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Solution

The third proportional to 318,609 and 688,841 is: 1,489,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,609 : 688,841 = 688,841 : x
  2. Step 2: Convert to fraction form
    318,609/688,841 = 688,841/x
  3. Step 3: Cross multiply
    318,609x = 688,841 × 688,841
  4. Step 4: Simplify right side
    318,609x = 474,501,923,281
  5. Step 5: Solve for x
    x = 474,501,923,281/318,609
  6. Step 6: Final answer
    x = 1,489,292.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.