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Finding the Third Proportional to 643,878 and 1,271,541

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Solution

The third proportional to 643,878 and 1,271,541 is: 2,511,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,878 : 1,271,541 = 1,271,541 : x
  2. Step 2: Convert to fraction form
    643,878/1,271,541 = 1,271,541/x
  3. Step 3: Cross multiply
    643,878x = 1,271,541 × 1,271,541
  4. Step 4: Simplify right side
    643,878x = 1,616,816,514,681
  5. Step 5: Solve for x
    x = 1,616,816,514,681/643,878
  6. Step 6: Final answer
    x = 2,511,060.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.