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Finding the Third Proportional to 643,698 and 1,370,556

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Solution

The third proportional to 643,698 and 1,370,556 is: 2,918,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,698 : 1,370,556 = 1,370,556 : x
  2. Step 2: Convert to fraction form
    643,698/1,370,556 = 1,370,556/x
  3. Step 3: Cross multiply
    643,698x = 1,370,556 × 1,370,556
  4. Step 4: Simplify right side
    643,698x = 1,878,423,749,136
  5. Step 5: Solve for x
    x = 1,878,423,749,136/643,698
  6. Step 6: Final answer
    x = 2,918,175.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.